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Finding the Fourth Proportional to 3,746,185.64, 5,169,735.76 and 2,027,306.24

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Solution

The fourth proportional to 3,746,185.64, 5,169,735.76 and 2,027,306.24 is: 2,797,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,185.64 : 5,169,735.76 = 2,027,306.24 : x
  2. Step 2: Convert to fraction form
    3,746,185.64/5,169,735.76 = 2,027,306.24/x
  3. Step 3: Cross multiply
    3,746,185.64x = 5,169,735.76 × 2,027,306.24
  4. Step 4: Simplify right side
    3,746,185.64x = 10,480,637,565,399.14
  5. Step 5: Solve for x
    x = 10,480,637,565,399.14/3,746,185.64
  6. Step 6: Final answer
    x = 2,797,682.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.