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Finding the Fourth Proportional to 4,760.52, 7,140.51 and 1,297.50

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Solution

The fourth proportional to 4,760.52, 7,140.51 and 1,297.50 is: 1,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.52 : 7,140.51 = 1,297.50 : x
  2. Step 2: Convert to fraction form
    4,760.52/7,140.51 = 1,297.50/x
  3. Step 3: Cross multiply
    4,760.52x = 7,140.51 × 1,297.50
  4. Step 4: Simplify right side
    4,760.52x = 9,264,811.73
  5. Step 5: Solve for x
    x = 9,264,811.73/4,760.52
  6. Step 6: Final answer
    x = 1,946.18

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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.