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Finding the Fourth Proportional to 5,798.86, 8,002.42 and 3,280.91

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Solution

The fourth proportional to 5,798.86, 8,002.42 and 3,280.91 is: 4,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.86 : 8,002.42 = 3,280.91 : x
  2. Step 2: Convert to fraction form
    5,798.86/8,002.42 = 3,280.91/x
  3. Step 3: Cross multiply
    5,798.86x = 8,002.42 × 3,280.91
  4. Step 4: Simplify right side
    5,798.86x = 26,255,219.80
  5. Step 5: Solve for x
    x = 26,255,219.80/5,798.86
  6. Step 6: Final answer
    x = 4,527.65

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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.