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Finding the Fourth Proportional to 5,957.48, 8,926.98 and 2,257.72

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Solution

The fourth proportional to 5,957.48, 8,926.98 and 2,257.72 is: 3,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.48 : 8,926.98 = 2,257.72 : x
  2. Step 2: Convert to fraction form
    5,957.48/8,926.98 = 2,257.72/x
  3. Step 3: Cross multiply
    5,957.48x = 8,926.98 × 2,257.72
  4. Step 4: Simplify right side
    5,957.48x = 20,154,621.29
  5. Step 5: Solve for x
    x = 20,154,621.29/5,957.48
  6. Step 6: Final answer
    x = 3,383.08

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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.