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Finding the Fourth Proportional to 3,648.88, 5,035.68 and 2,077.24

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Solution

The fourth proportional to 3,648.88, 5,035.68 and 2,077.24 is: 2,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.88 : 5,035.68 = 2,077.24 : x
  2. Step 2: Convert to fraction form
    3,648.88/5,035.68 = 2,077.24/x
  3. Step 3: Cross multiply
    3,648.88x = 5,035.68 × 2,077.24
  4. Step 4: Simplify right side
    3,648.88x = 10,460,315.92
  5. Step 5: Solve for x
    x = 10,460,315.92/3,648.88
  6. Step 6: Final answer
    x = 2,866.72

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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.