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Finding the Fourth Proportional to 3,647.47, 5,471.43 and 2,476.98

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Solution

The fourth proportional to 3,647.47, 5,471.43 and 2,476.98 is: 3,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.47 : 5,471.43 = 2,476.98 : x
  2. Step 2: Convert to fraction form
    3,647.47/5,471.43 = 2,476.98/x
  3. Step 3: Cross multiply
    3,647.47x = 5,471.43 × 2,476.98
  4. Step 4: Simplify right side
    3,647.47x = 13,552,595.32
  5. Step 5: Solve for x
    x = 13,552,595.32/3,647.47
  6. Step 6: Final answer
    x = 3,715.62

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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.