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Finding the Fourth Proportional to 4,641.17, 6,954.92 and 3,402.79

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Solution

The fourth proportional to 4,641.17, 6,954.92 and 3,402.79 is: 5,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.17 : 6,954.92 = 3,402.79 : x
  2. Step 2: Convert to fraction form
    4,641.17/6,954.92 = 3,402.79/x
  3. Step 3: Cross multiply
    4,641.17x = 6,954.92 × 3,402.79
  4. Step 4: Simplify right side
    4,641.17x = 23,666,132.23
  5. Step 5: Solve for x
    x = 23,666,132.23/4,641.17
  6. Step 6: Final answer
    x = 5,099.17

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