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Finding the Fourth Proportional to 5,047.98, 7,565.85 and 4,457.49

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Solution

The fourth proportional to 5,047.98, 7,565.85 and 4,457.49 is: 6,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.98 : 7,565.85 = 4,457.49 : x
  2. Step 2: Convert to fraction form
    5,047.98/7,565.85 = 4,457.49/x
  3. Step 3: Cross multiply
    5,047.98x = 7,565.85 × 4,457.49
  4. Step 4: Simplify right side
    5,047.98x = 33,724,700.72
  5. Step 5: Solve for x
    x = 33,724,700.72/5,047.98
  6. Step 6: Final answer
    x = 6,680.83

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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.