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Finding the Fourth Proportional to 3,253.29, 4,879.07 and 913.16

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Solution

The fourth proportional to 3,253.29, 4,879.07 and 913.16 is: 1,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.29 : 4,879.07 = 913.16 : x
  2. Step 2: Convert to fraction form
    3,253.29/4,879.07 = 913.16/x
  3. Step 3: Cross multiply
    3,253.29x = 4,879.07 × 913.16
  4. Step 4: Simplify right side
    3,253.29x = 4,455,342.60
  5. Step 5: Solve for x
    x = 4,455,342.60/3,253.29
  6. Step 6: Final answer
    x = 1,369.49

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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.