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Finding the Fourth Proportional to 5,644.60, 8,466.90 and 4,607.80

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Solution

The fourth proportional to 5,644.60, 8,466.90 and 4,607.80 is: 6,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.60 : 8,466.90 = 4,607.80 : x
  2. Step 2: Convert to fraction form
    5,644.60/8,466.90 = 4,607.80/x
  3. Step 3: Cross multiply
    5,644.60x = 8,466.90 × 4,607.80
  4. Step 4: Simplify right side
    5,644.60x = 39,013,781.82
  5. Step 5: Solve for x
    x = 39,013,781.82/5,644.60
  6. Step 6: Final answer
    x = 6,911.70

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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.