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Finding the Fourth Proportional to 5,038.32, 6,952.08 and 2,800.20

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Solution

The fourth proportional to 5,038.32, 6,952.08 and 2,800.20 is: 3,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.32 : 6,952.08 = 2,800.20 : x
  2. Step 2: Convert to fraction form
    5,038.32/6,952.08 = 2,800.20/x
  3. Step 3: Cross multiply
    5,038.32x = 6,952.08 × 2,800.20
  4. Step 4: Simplify right side
    5,038.32x = 19,467,214.42
  5. Step 5: Solve for x
    x = 19,467,214.42/5,038.32
  6. Step 6: Final answer
    x = 3,863.83

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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.