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Finding the Fourth Proportional to 5,234.67, 7,854.65 and 1,948.10

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Solution

The fourth proportional to 5,234.67, 7,854.65 and 1,948.10 is: 2,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.67 : 7,854.65 = 1,948.10 : x
  2. Step 2: Convert to fraction form
    5,234.67/7,854.65 = 1,948.10/x
  3. Step 3: Cross multiply
    5,234.67x = 7,854.65 × 1,948.10
  4. Step 4: Simplify right side
    5,234.67x = 15,301,594.65
  5. Step 5: Solve for x
    x = 15,301,594.65/5,234.67
  6. Step 6: Final answer
    x = 2,923.12

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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.