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Finding the Fourth Proportional to 5,295.33, 7,903.80 and 4,672.65

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Solution

The fourth proportional to 5,295.33, 7,903.80 and 4,672.65 is: 6,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.33 : 7,903.80 = 4,672.65 : x
  2. Step 2: Convert to fraction form
    5,295.33/7,903.80 = 4,672.65/x
  3. Step 3: Cross multiply
    5,295.33x = 7,903.80 × 4,672.65
  4. Step 4: Simplify right side
    5,295.33x = 36,931,691.07
  5. Step 5: Solve for x
    x = 36,931,691.07/5,295.33
  6. Step 6: Final answer
    x = 6,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.