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Finding the Fourth Proportional to 5,085.68, 7,631.14 and 3,852.68

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Solution

The fourth proportional to 5,085.68, 7,631.14 and 3,852.68 is: 5,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.68 : 7,631.14 = 3,852.68 : x
  2. Step 2: Convert to fraction form
    5,085.68/7,631.14 = 3,852.68/x
  3. Step 3: Cross multiply
    5,085.68x = 7,631.14 × 3,852.68
  4. Step 4: Simplify right side
    5,085.68x = 29,400,340.46
  5. Step 5: Solve for x
    x = 29,400,340.46/5,085.68
  6. Step 6: Final answer
    x = 5,781.00

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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.