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Finding the Fourth Proportional to 3,565.72, 5,346.62 and 1,099.86

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Solution

The fourth proportional to 3,565.72, 5,346.62 and 1,099.86 is: 1,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.72 : 5,346.62 = 1,099.86 : x
  2. Step 2: Convert to fraction form
    3,565.72/5,346.62 = 1,099.86/x
  3. Step 3: Cross multiply
    3,565.72x = 5,346.62 × 1,099.86
  4. Step 4: Simplify right side
    3,565.72x = 5,880,533.47
  5. Step 5: Solve for x
    x = 5,880,533.47/3,565.72
  6. Step 6: Final answer
    x = 1,649.19

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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.