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Finding the Fourth Proportional to 5,894.28, 8,828.62 and 3,587.72

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Solution

The fourth proportional to 5,894.28, 8,828.62 and 3,587.72 is: 5,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.28 : 8,828.62 = 3,587.72 : x
  2. Step 2: Convert to fraction form
    5,894.28/8,828.62 = 3,587.72/x
  3. Step 3: Cross multiply
    5,894.28x = 8,828.62 × 3,587.72
  4. Step 4: Simplify right side
    5,894.28x = 31,674,616.55
  5. Step 5: Solve for x
    x = 31,674,616.55/5,894.28
  6. Step 6: Final answer
    x = 5,373.79

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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.