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Finding the Fourth Proportional to 5,870.36, 8,092.02 and 4,376

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Solution

The fourth proportional to 5,870.36, 8,092.02 and 4,376 is: 6,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.36 : 8,092.02 = 4,376 : x
  2. Step 2: Convert to fraction form
    5,870.36/8,092.02 = 4,376/x
  3. Step 3: Cross multiply
    5,870.36x = 8,092.02 × 4,376
  4. Step 4: Simplify right side
    5,870.36x = 35,410,679.52
  5. Step 5: Solve for x
    x = 35,410,679.52/5,870.36
  6. Step 6: Final answer
    x = 6,032.11

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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.