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Finding the Fourth Proportional to 5,228.04, 7,842 and 1,332.48

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Solution

The fourth proportional to 5,228.04, 7,842 and 1,332.48 is: 1,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.04 : 7,842 = 1,332.48 : x
  2. Step 2: Convert to fraction form
    5,228.04/7,842 = 1,332.48/x
  3. Step 3: Cross multiply
    5,228.04x = 7,842 × 1,332.48
  4. Step 4: Simplify right side
    5,228.04x = 10,449,308.16
  5. Step 5: Solve for x
    x = 10,449,308.16/5,228.04
  6. Step 6: Final answer
    x = 1,998.70

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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.