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Finding the Fourth Proportional to 3,507.77, 5,262.92 and 1,752.64

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Solution

The fourth proportional to 3,507.77, 5,262.92 and 1,752.64 is: 2,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.77 : 5,262.92 = 1,752.64 : x
  2. Step 2: Convert to fraction form
    3,507.77/5,262.92 = 1,752.64/x
  3. Step 3: Cross multiply
    3,507.77x = 5,262.92 × 1,752.64
  4. Step 4: Simplify right side
    3,507.77x = 9,223,988.76
  5. Step 5: Solve for x
    x = 9,223,988.76/3,507.77
  6. Step 6: Final answer
    x = 2,629.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.