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Finding the Fourth Proportional to 5,470.98, 7,549.68 and 3,232.96

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Solution

The fourth proportional to 5,470.98, 7,549.68 and 3,232.96 is: 4,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.98 : 7,549.68 = 3,232.96 : x
  2. Step 2: Convert to fraction form
    5,470.98/7,549.68 = 3,232.96/x
  3. Step 3: Cross multiply
    5,470.98x = 7,549.68 × 3,232.96
  4. Step 4: Simplify right side
    5,470.98x = 24,407,813.45
  5. Step 5: Solve for x
    x = 24,407,813.45/5,470.98
  6. Step 6: Final answer
    x = 4,461.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.