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Finding the Fourth Proportional to 3,875.60, 5,813.40 and 3,010.52

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Solution

The fourth proportional to 3,875.60, 5,813.40 and 3,010.52 is: 4,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.60 : 5,813.40 = 3,010.52 : x
  2. Step 2: Convert to fraction form
    3,875.60/5,813.40 = 3,010.52/x
  3. Step 3: Cross multiply
    3,875.60x = 5,813.40 × 3,010.52
  4. Step 4: Simplify right side
    3,875.60x = 17,501,356.97
  5. Step 5: Solve for x
    x = 17,501,356.97/3,875.60
  6. Step 6: Final answer
    x = 4,515.78

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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.