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Finding the Fourth Proportional to 4,542.60, 6,810.84 and 1,580.28

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Solution

The fourth proportional to 4,542.60, 6,810.84 and 1,580.28 is: 2,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.60 : 6,810.84 = 1,580.28 : x
  2. Step 2: Convert to fraction form
    4,542.60/6,810.84 = 1,580.28/x
  3. Step 3: Cross multiply
    4,542.60x = 6,810.84 × 1,580.28
  4. Step 4: Simplify right side
    4,542.60x = 10,763,034.24
  5. Step 5: Solve for x
    x = 10,763,034.24/4,542.60
  6. Step 6: Final answer
    x = 2,369.36

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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.