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Finding the Fourth Proportional to 6,579.68, 9,089.84 and 4,316.40

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Solution

The fourth proportional to 6,579.68, 9,089.84 and 4,316.40 is: 5,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.68 : 9,089.84 = 4,316.40 : x
  2. Step 2: Convert to fraction form
    6,579.68/9,089.84 = 4,316.40/x
  3. Step 3: Cross multiply
    6,579.68x = 9,089.84 × 4,316.40
  4. Step 4: Simplify right side
    6,579.68x = 39,235,385.38
  5. Step 5: Solve for x
    x = 39,235,385.38/6,579.68
  6. Step 6: Final answer
    x = 5,963.11

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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.