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Finding the Fourth Proportional to 5,715.59, 7,879.95 and 4,120.90

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Solution

The fourth proportional to 5,715.59, 7,879.95 and 4,120.90 is: 5,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.59 : 7,879.95 = 4,120.90 : x
  2. Step 2: Convert to fraction form
    5,715.59/7,879.95 = 4,120.90/x
  3. Step 3: Cross multiply
    5,715.59x = 7,879.95 × 4,120.90
  4. Step 4: Simplify right side
    5,715.59x = 32,472,466.26
  5. Step 5: Solve for x
    x = 32,472,466.26/5,715.59
  6. Step 6: Final answer
    x = 5,681.39

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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.