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Finding the Fourth Proportional to 5,038.90, 6,952.90 and 2,800.56

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Solution

The fourth proportional to 5,038.90, 6,952.90 and 2,800.56 is: 3,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.90 : 6,952.90 = 2,800.56 : x
  2. Step 2: Convert to fraction form
    5,038.90/6,952.90 = 2,800.56/x
  3. Step 3: Cross multiply
    5,038.90x = 6,952.90 × 2,800.56
  4. Step 4: Simplify right side
    5,038.90x = 19,472,013.62
  5. Step 5: Solve for x
    x = 19,472,013.62/5,038.90
  6. Step 6: Final answer
    x = 3,864.34

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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.