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Finding the Fourth Proportional to 4,924.64, 6,795.75 and 2,686.50

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Solution

The fourth proportional to 4,924.64, 6,795.75 and 2,686.50 is: 3,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.64 : 6,795.75 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    4,924.64/6,795.75 = 2,686.50/x
  3. Step 3: Cross multiply
    4,924.64x = 6,795.75 × 2,686.50
  4. Step 4: Simplify right side
    4,924.64x = 18,256,782.38
  5. Step 5: Solve for x
    x = 18,256,782.38/4,924.64
  6. Step 6: Final answer
    x = 3,707.23

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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.