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Finding the Fourth Proportional to 5,307.92, 7,959.15 and 2,383.72

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Solution

The fourth proportional to 5,307.92, 7,959.15 and 2,383.72 is: 3,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.92 : 7,959.15 = 2,383.72 : x
  2. Step 2: Convert to fraction form
    5,307.92/7,959.15 = 2,383.72/x
  3. Step 3: Cross multiply
    5,307.92x = 7,959.15 × 2,383.72
  4. Step 4: Simplify right side
    5,307.92x = 18,972,385.04
  5. Step 5: Solve for x
    x = 18,972,385.04/5,307.92
  6. Step 6: Final answer
    x = 3,574.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.