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Finding the Fourth Proportional to 5,006.48, 7,510.44 and 1,544

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Solution

The fourth proportional to 5,006.48, 7,510.44 and 1,544 is: 2,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.48 : 7,510.44 = 1,544 : x
  2. Step 2: Convert to fraction form
    5,006.48/7,510.44 = 1,544/x
  3. Step 3: Cross multiply
    5,006.48x = 7,510.44 × 1,544
  4. Step 4: Simplify right side
    5,006.48x = 11,596,119.36
  5. Step 5: Solve for x
    x = 11,596,119.36/5,006.48
  6. Step 6: Final answer
    x = 2,316.22

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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.