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Finding the Fourth Proportional to 3,565.61, 5,349.29 and 1,225.65

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Solution

The fourth proportional to 3,565.61, 5,349.29 and 1,225.65 is: 1,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.61 : 5,349.29 = 1,225.65 : x
  2. Step 2: Convert to fraction form
    3,565.61/5,349.29 = 1,225.65/x
  3. Step 3: Cross multiply
    3,565.61x = 5,349.29 × 1,225.65
  4. Step 4: Simplify right side
    3,565.61x = 6,556,357.29
  5. Step 5: Solve for x
    x = 6,556,357.29/3,565.61
  6. Step 6: Final answer
    x = 1,838.78

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