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Finding the Fourth Proportional to 3,471.36, 5,206.88 and 1,006.13

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Solution

The fourth proportional to 3,471.36, 5,206.88 and 1,006.13 is: 1,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.36 : 5,206.88 = 1,006.13 : x
  2. Step 2: Convert to fraction form
    3,471.36/5,206.88 = 1,006.13/x
  3. Step 3: Cross multiply
    3,471.36x = 5,206.88 × 1,006.13
  4. Step 4: Simplify right side
    3,471.36x = 5,238,774.66
  5. Step 5: Solve for x
    x = 5,238,774.66/3,471.36
  6. Step 6: Final answer
    x = 1,509.14

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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.