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Finding the Fourth Proportional to 3,294.12, 4,545.66 and 2,364.12

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Solution

The fourth proportional to 3,294.12, 4,545.66 and 2,364.12 is: 3,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.12 : 4,545.66 = 2,364.12 : x
  2. Step 2: Convert to fraction form
    3,294.12/4,545.66 = 2,364.12/x
  3. Step 3: Cross multiply
    3,294.12x = 4,545.66 × 2,364.12
  4. Step 4: Simplify right side
    3,294.12x = 10,746,485.72
  5. Step 5: Solve for x
    x = 10,746,485.72/3,294.12
  6. Step 6: Final answer
    x = 3,262.32

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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.