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Finding the Fourth Proportional to 3,565.69, 5,347.01 and 1,225.93

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Solution

The fourth proportional to 3,565.69, 5,347.01 and 1,225.93 is: 1,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 5,347.01 = 1,225.93 : x
  2. Step 2: Convert to fraction form
    3,565.69/5,347.01 = 1,225.93/x
  3. Step 3: Cross multiply
    3,565.69x = 5,347.01 × 1,225.93
  4. Step 4: Simplify right side
    3,565.69x = 6,555,059.97
  5. Step 5: Solve for x
    x = 6,555,059.97/3,565.69
  6. Step 6: Final answer
    x = 1,838.37

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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.