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Finding the Fourth Proportional to 5,158.01, 7,737.02 and 1,871.10

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Solution

The fourth proportional to 5,158.01, 7,737.02 and 1,871.10 is: 2,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.01 : 7,737.02 = 1,871.10 : x
  2. Step 2: Convert to fraction form
    5,158.01/7,737.02 = 1,871.10/x
  3. Step 3: Cross multiply
    5,158.01x = 7,737.02 × 1,871.10
  4. Step 4: Simplify right side
    5,158.01x = 14,476,728.77
  5. Step 5: Solve for x
    x = 14,476,728.77/5,158.01
  6. Step 6: Final answer
    x = 2,806.65

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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.