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Finding the Fourth Proportional to 5,031.60, 7,510.60 and 4,661

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Solution

The fourth proportional to 5,031.60, 7,510.60 and 4,661 is: 6,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.60 : 7,510.60 = 4,661 : x
  2. Step 2: Convert to fraction form
    5,031.60/7,510.60 = 4,661/x
  3. Step 3: Cross multiply
    5,031.60x = 7,510.60 × 4,661
  4. Step 4: Simplify right side
    5,031.60x = 35,006,906.60
  5. Step 5: Solve for x
    x = 35,006,906.60/5,031.60
  6. Step 6: Final answer
    x = 6,957.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.