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Finding the Fourth Proportional to 3,648.16, 5,035.36 and 2,077.16

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Solution

The fourth proportional to 3,648.16, 5,035.36 and 2,077.16 is: 2,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.16 : 5,035.36 = 2,077.16 : x
  2. Step 2: Convert to fraction form
    3,648.16/5,035.36 = 2,077.16/x
  3. Step 3: Cross multiply
    3,648.16x = 5,035.36 × 2,077.16
  4. Step 4: Simplify right side
    3,648.16x = 10,459,248.38
  5. Step 5: Solve for x
    x = 10,459,248.38/3,648.16
  6. Step 6: Final answer
    x = 2,866.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.