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Finding the Fourth Proportional to 3,565.34, 5,346.05 and 1,099.48

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Solution

The fourth proportional to 3,565.34, 5,346.05 and 1,099.48 is: 1,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.34 : 5,346.05 = 1,099.48 : x
  2. Step 2: Convert to fraction form
    3,565.34/5,346.05 = 1,099.48/x
  3. Step 3: Cross multiply
    3,565.34x = 5,346.05 × 1,099.48
  4. Step 4: Simplify right side
    3,565.34x = 5,877,848.32
  5. Step 5: Solve for x
    x = 5,877,848.32/3,565.34
  6. Step 6: Final answer
    x = 1,648.61

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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.