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Finding the Fourth Proportional to 4,871.54, 7,307.31 and 1,947.80

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Solution

The fourth proportional to 4,871.54, 7,307.31 and 1,947.80 is: 2,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.54 : 7,307.31 = 1,947.80 : x
  2. Step 2: Convert to fraction form
    4,871.54/7,307.31 = 1,947.80/x
  3. Step 3: Cross multiply
    4,871.54x = 7,307.31 × 1,947.80
  4. Step 4: Simplify right side
    4,871.54x = 14,233,162.89
  5. Step 5: Solve for x
    x = 14,233,162.89/4,871.54
  6. Step 6: Final answer
    x = 2,921.70

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Similar ratio
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1.5x scale

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.