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Finding the Fourth Proportional to 5,894.18, 8,842.47 and 5,306.03

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Solution

The fourth proportional to 5,894.18, 8,842.47 and 5,306.03 is: 7,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.18 : 8,842.47 = 5,306.03 : x
  2. Step 2: Convert to fraction form
    5,894.18/8,842.47 = 5,306.03/x
  3. Step 3: Cross multiply
    5,894.18x = 8,842.47 × 5,306.03
  4. Step 4: Simplify right side
    5,894.18x = 46,918,366.88
  5. Step 5: Solve for x
    x = 46,918,366.88/5,894.18
  6. Step 6: Final answer
    x = 7,960.12

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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.