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Finding the Fourth Proportional to 5,120.40, 7,051.28 and 4,447.90

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Solution

The fourth proportional to 5,120.40, 7,051.28 and 4,447.90 is: 6,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.40 : 7,051.28 = 4,447.90 : x
  2. Step 2: Convert to fraction form
    5,120.40/7,051.28 = 4,447.90/x
  3. Step 3: Cross multiply
    5,120.40x = 7,051.28 × 4,447.90
  4. Step 4: Simplify right side
    5,120.40x = 31,363,347.73
  5. Step 5: Solve for x
    x = 31,363,347.73/5,120.40
  6. Step 6: Final answer
    x = 6,125.18

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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.