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Finding the Fourth Proportional to 3,575.40, 5,363.10 and 2,478.66

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Solution

The fourth proportional to 3,575.40, 5,363.10 and 2,478.66 is: 3,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.40 : 5,363.10 = 2,478.66 : x
  2. Step 2: Convert to fraction form
    3,575.40/5,363.10 = 2,478.66/x
  3. Step 3: Cross multiply
    3,575.40x = 5,363.10 × 2,478.66
  4. Step 4: Simplify right side
    3,575.40x = 13,293,301.45
  5. Step 5: Solve for x
    x = 13,293,301.45/3,575.40
  6. Step 6: Final answer
    x = 3,717.99

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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.