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Finding the Fourth Proportional to 5,701.23, 7,861.53 and 4,948.74

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Solution

The fourth proportional to 5,701.23, 7,861.53 and 4,948.74 is: 6,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.23 : 7,861.53 = 4,948.74 : x
  2. Step 2: Convert to fraction form
    5,701.23/7,861.53 = 4,948.74/x
  3. Step 3: Cross multiply
    5,701.23x = 7,861.53 × 4,948.74
  4. Step 4: Simplify right side
    5,701.23x = 38,904,667.97
  5. Step 5: Solve for x
    x = 38,904,667.97/5,701.23
  6. Step 6: Final answer
    x = 6,823.91

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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.