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Finding the Fourth Proportional to 4,402.02, 6,599.24 and 2,527.50

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Solution

The fourth proportional to 4,402.02, 6,599.24 and 2,527.50 is: 3,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.02 : 6,599.24 = 2,527.50 : x
  2. Step 2: Convert to fraction form
    4,402.02/6,599.24 = 2,527.50/x
  3. Step 3: Cross multiply
    4,402.02x = 6,599.24 × 2,527.50
  4. Step 4: Simplify right side
    4,402.02x = 16,679,579.10
  5. Step 5: Solve for x
    x = 16,679,579.10/4,402.02
  6. Step 6: Final answer
    x = 3,789.07

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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.