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Finding the Fourth Proportional to 6,354.42, 9,531.36 and 2,891.67

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Solution

The fourth proportional to 6,354.42, 9,531.36 and 2,891.67 is: 4,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.42 : 9,531.36 = 2,891.67 : x
  2. Step 2: Convert to fraction form
    6,354.42/9,531.36 = 2,891.67/x
  3. Step 3: Cross multiply
    6,354.42x = 9,531.36 × 2,891.67
  4. Step 4: Simplify right side
    6,354.42x = 27,561,547.77
  5. Step 5: Solve for x
    x = 27,561,547.77/6,354.42
  6. Step 6: Final answer
    x = 4,337.38

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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.