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Finding the Fourth Proportional to 3,417.31, 5,126.01 and 952.07

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Solution

The fourth proportional to 3,417.31, 5,126.01 and 952.07 is: 1,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.31 : 5,126.01 = 952.07 : x
  2. Step 2: Convert to fraction form
    3,417.31/5,126.01 = 952.07/x
  3. Step 3: Cross multiply
    3,417.31x = 5,126.01 × 952.07
  4. Step 4: Simplify right side
    3,417.31x = 4,880,320.34
  5. Step 5: Solve for x
    x = 4,880,320.34/3,417.31
  6. Step 6: Final answer
    x = 1,428.12

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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.