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Finding the Fourth Proportional to 5,884, 8,804.16 and 3,545.12

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Solution

The fourth proportional to 5,884, 8,804.16 and 3,545.12 is: 5,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 8,804.16 = 3,545.12 : x
  2. Step 2: Convert to fraction form
    5,884/8,804.16 = 3,545.12/x
  3. Step 3: Cross multiply
    5,884x = 8,804.16 × 3,545.12
  4. Step 4: Simplify right side
    5,884x = 31,211,803.70
  5. Step 5: Solve for x
    x = 31,211,803.70/5,884
  6. Step 6: Final answer
    x = 5,304.52

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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.