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Finding the Fourth Proportional to 5,601.50, 8,402.26 and 1,497.50

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Solution

The fourth proportional to 5,601.50, 8,402.26 and 1,497.50 is: 2,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.50 : 8,402.26 = 1,497.50 : x
  2. Step 2: Convert to fraction form
    5,601.50/8,402.26 = 1,497.50/x
  3. Step 3: Cross multiply
    5,601.50x = 8,402.26 × 1,497.50
  4. Step 4: Simplify right side
    5,601.50x = 12,582,384.35
  5. Step 5: Solve for x
    x = 12,582,384.35/5,601.50
  6. Step 6: Final answer
    x = 2,246.25

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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.