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Finding the Fourth Proportional to 4,687.60, 6,469.68 and 3,566.74

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Solution

The fourth proportional to 4,687.60, 6,469.68 and 3,566.74 is: 4,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.60 : 6,469.68 = 3,566.74 : x
  2. Step 2: Convert to fraction form
    4,687.60/6,469.68 = 3,566.74/x
  3. Step 3: Cross multiply
    4,687.60x = 6,469.68 × 3,566.74
  4. Step 4: Simplify right side
    4,687.60x = 23,075,666.44
  5. Step 5: Solve for x
    x = 23,075,666.44/4,687.60
  6. Step 6: Final answer
    x = 4,922.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.