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Finding the Fourth Proportional to 3,772.60, 5,656.62 and 1,580.20

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Solution

The fourth proportional to 3,772.60, 5,656.62 and 1,580.20 is: 2,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.60 : 5,656.62 = 1,580.20 : x
  2. Step 2: Convert to fraction form
    3,772.60/5,656.62 = 1,580.20/x
  3. Step 3: Cross multiply
    3,772.60x = 5,656.62 × 1,580.20
  4. Step 4: Simplify right side
    3,772.60x = 8,938,590.92
  5. Step 5: Solve for x
    x = 8,938,590.92/3,772.60
  6. Step 6: Final answer
    x = 2,369.34

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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.