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Finding the Fourth Proportional to 5,566.58, 8,349.32 and 1,462.58

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Solution

The fourth proportional to 5,566.58, 8,349.32 and 1,462.58 is: 2,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.58 : 8,349.32 = 1,462.58 : x
  2. Step 2: Convert to fraction form
    5,566.58/8,349.32 = 1,462.58/x
  3. Step 3: Cross multiply
    5,566.58x = 8,349.32 × 1,462.58
  4. Step 4: Simplify right side
    5,566.58x = 12,211,499.39
  5. Step 5: Solve for x
    x = 12,211,499.39/5,566.58
  6. Step 6: Final answer
    x = 2,193.72

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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.