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Finding the Fourth Proportional to 5,566.64, 8,349.92 and 1,406.58

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Solution

The fourth proportional to 5,566.64, 8,349.92 and 1,406.58 is: 2,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.64 : 8,349.92 = 1,406.58 : x
  2. Step 2: Convert to fraction form
    5,566.64/8,349.92 = 1,406.58/x
  3. Step 3: Cross multiply
    5,566.64x = 8,349.92 × 1,406.58
  4. Step 4: Simplify right side
    5,566.64x = 11,744,830.47
  5. Step 5: Solve for x
    x = 11,744,830.47/5,566.64
  6. Step 6: Final answer
    x = 2,109.86

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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.