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Finding the Fourth Proportional to 5,749.29, 7,925.99 and 4,861.53

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Solution

The fourth proportional to 5,749.29, 7,925.99 and 4,861.53 is: 6,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.29 : 7,925.99 = 4,861.53 : x
  2. Step 2: Convert to fraction form
    5,749.29/7,925.99 = 4,861.53/x
  3. Step 3: Cross multiply
    5,749.29x = 7,925.99 × 4,861.53
  4. Step 4: Simplify right side
    5,749.29x = 38,532,413.86
  5. Step 5: Solve for x
    x = 38,532,413.86/5,749.29
  6. Step 6: Final answer
    x = 6,702.12

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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.