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Finding the Fourth Proportional to 5,927.61, 8,170.65 and 4,666.67

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Solution

The fourth proportional to 5,927.61, 8,170.65 and 4,666.67 is: 6,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.61 : 8,170.65 = 4,666.67 : x
  2. Step 2: Convert to fraction form
    5,927.61/8,170.65 = 4,666.67/x
  3. Step 3: Cross multiply
    5,927.61x = 8,170.65 × 4,666.67
  4. Step 4: Simplify right side
    5,927.61x = 38,129,686.38
  5. Step 5: Solve for x
    x = 38,129,686.38/5,927.61
  6. Step 6: Final answer
    x = 6,432.56

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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.