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Finding the Fourth Proportional to 4,871.54, 7,306.50 and 1,750.92

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Solution

The fourth proportional to 4,871.54, 7,306.50 and 1,750.92 is: 2,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.54 : 7,306.50 = 1,750.92 : x
  2. Step 2: Convert to fraction form
    4,871.54/7,306.50 = 1,750.92/x
  3. Step 3: Cross multiply
    4,871.54x = 7,306.50 × 1,750.92
  4. Step 4: Simplify right side
    4,871.54x = 12,793,076.15
  5. Step 5: Solve for x
    x = 12,793,076.15/4,871.54
  6. Step 6: Final answer
    x = 2,626.08

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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.