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Finding the Fourth Proportional to 3,648.48, 5,470.55 and 2,866.56

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Solution

The fourth proportional to 3,648.48, 5,470.55 and 2,866.56 is: 4,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.48 : 5,470.55 = 2,866.56 : x
  2. Step 2: Convert to fraction form
    3,648.48/5,470.55 = 2,866.56/x
  3. Step 3: Cross multiply
    3,648.48x = 5,470.55 × 2,866.56
  4. Step 4: Simplify right side
    3,648.48x = 15,681,659.81
  5. Step 5: Solve for x
    x = 15,681,659.81/3,648.48
  6. Step 6: Final answer
    x = 4,298.14

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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.