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Finding the Fourth Proportional to 5,881.79, 8,822.70 and 2,594.90

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Solution

The fourth proportional to 5,881.79, 8,822.70 and 2,594.90 is: 3,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.79 : 8,822.70 = 2,594.90 : x
  2. Step 2: Convert to fraction form
    5,881.79/8,822.70 = 2,594.90/x
  3. Step 3: Cross multiply
    5,881.79x = 8,822.70 × 2,594.90
  4. Step 4: Simplify right side
    5,881.79x = 22,894,024.23
  5. Step 5: Solve for x
    x = 22,894,024.23/5,881.79
  6. Step 6: Final answer
    x = 3,892.36

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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.