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Finding the Fourth Proportional to 4,709.12, 6,498.65 and 2,584.61

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Solution

The fourth proportional to 4,709.12, 6,498.65 and 2,584.61 is: 3,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.12 : 6,498.65 = 2,584.61 : x
  2. Step 2: Convert to fraction form
    4,709.12/6,498.65 = 2,584.61/x
  3. Step 3: Cross multiply
    4,709.12x = 6,498.65 × 2,584.61
  4. Step 4: Simplify right side
    4,709.12x = 16,796,475.78
  5. Step 5: Solve for x
    x = 16,796,475.78/4,709.12
  6. Step 6: Final answer
    x = 3,566.80

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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.