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Finding the Fourth Proportional to 5,006.40, 7,510.17 and 1,496.60

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Solution

The fourth proportional to 5,006.40, 7,510.17 and 1,496.60 is: 2,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.40 : 7,510.17 = 1,496.60 : x
  2. Step 2: Convert to fraction form
    5,006.40/7,510.17 = 1,496.60/x
  3. Step 3: Cross multiply
    5,006.40x = 7,510.17 × 1,496.60
  4. Step 4: Simplify right side
    5,006.40x = 11,239,739.20
  5. Step 5: Solve for x
    x = 11,239,739.20/5,006.40
  6. Step 6: Final answer
    x = 2,245.07

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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.