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Finding the Fourth Proportional to 5,724.90, 8,580.06 and 2,603.88

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Solution

The fourth proportional to 5,724.90, 8,580.06 and 2,603.88 is: 3,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.90 : 8,580.06 = 2,603.88 : x
  2. Step 2: Convert to fraction form
    5,724.90/8,580.06 = 2,603.88/x
  3. Step 3: Cross multiply
    5,724.90x = 8,580.06 × 2,603.88
  4. Step 4: Simplify right side
    5,724.90x = 22,341,446.63
  5. Step 5: Solve for x
    x = 22,341,446.63/5,724.90
  6. Step 6: Final answer
    x = 3,902.50

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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.