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Finding the Fourth Proportional to 6,421.70, 8,857.20 and 4,061.58

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Solution

The fourth proportional to 6,421.70, 8,857.20 and 4,061.58 is: 5,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.70 : 8,857.20 = 4,061.58 : x
  2. Step 2: Convert to fraction form
    6,421.70/8,857.20 = 4,061.58/x
  3. Step 3: Cross multiply
    6,421.70x = 8,857.20 × 4,061.58
  4. Step 4: Simplify right side
    6,421.70x = 35,974,226.38
  5. Step 5: Solve for x
    x = 35,974,226.38/6,421.70
  6. Step 6: Final answer
    x = 5,601.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.