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Finding the Fourth Proportional to 5,888.23, 8,830.02 and 2,599

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Solution

The fourth proportional to 5,888.23, 8,830.02 and 2,599 is: 3,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.23 : 8,830.02 = 2,599 : x
  2. Step 2: Convert to fraction form
    5,888.23/8,830.02 = 2,599/x
  3. Step 3: Cross multiply
    5,888.23x = 8,830.02 × 2,599
  4. Step 4: Simplify right side
    5,888.23x = 22,949,221.98
  5. Step 5: Solve for x
    x = 22,949,221.98/5,888.23
  6. Step 6: Final answer
    x = 3,897.47

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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.