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Finding the Fourth Proportional to 5,151.48, 7,103.71 and 4,407.90

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Solution

The fourth proportional to 5,151.48, 7,103.71 and 4,407.90 is: 6,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.48 : 7,103.71 = 4,407.90 : x
  2. Step 2: Convert to fraction form
    5,151.48/7,103.71 = 4,407.90/x
  3. Step 3: Cross multiply
    5,151.48x = 7,103.71 × 4,407.90
  4. Step 4: Simplify right side
    5,151.48x = 31,312,443.31
  5. Step 5: Solve for x
    x = 31,312,443.31/5,151.48
  6. Step 6: Final answer
    x = 6,078.34

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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.