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Finding the Fourth Proportional to 5,709.65, 8,565.59 and 2,014.47

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Solution

The fourth proportional to 5,709.65, 8,565.59 and 2,014.47 is: 3,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.65 : 8,565.59 = 2,014.47 : x
  2. Step 2: Convert to fraction form
    5,709.65/8,565.59 = 2,014.47/x
  3. Step 3: Cross multiply
    5,709.65x = 8,565.59 × 2,014.47
  4. Step 4: Simplify right side
    5,709.65x = 17,255,129.12
  5. Step 5: Solve for x
    x = 17,255,129.12/5,709.65
  6. Step 6: Final answer
    x = 3,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.