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Finding the Fourth Proportional to 5,102.52, 7,041.29 and 3,116.40

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Solution

The fourth proportional to 5,102.52, 7,041.29 and 3,116.40 is: 4,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.52 : 7,041.29 = 3,116.40 : x
  2. Step 2: Convert to fraction form
    5,102.52/7,041.29 = 3,116.40/x
  3. Step 3: Cross multiply
    5,102.52x = 7,041.29 × 3,116.40
  4. Step 4: Simplify right side
    5,102.52x = 21,943,476.16
  5. Step 5: Solve for x
    x = 21,943,476.16/5,102.52
  6. Step 6: Final answer
    x = 4,300.52

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