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Finding the Fourth Proportional to 4,572.86, 6,310.52 and 2,584.06

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Solution

The fourth proportional to 4,572.86, 6,310.52 and 2,584.06 is: 3,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.86 : 6,310.52 = 2,584.06 : x
  2. Step 2: Convert to fraction form
    4,572.86/6,310.52 = 2,584.06/x
  3. Step 3: Cross multiply
    4,572.86x = 6,310.52 × 2,584.06
  4. Step 4: Simplify right side
    4,572.86x = 16,306,762.31
  5. Step 5: Solve for x
    x = 16,306,762.31/4,572.86
  6. Step 6: Final answer
    x = 3,565.99

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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.