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Finding the Fourth Proportional to 5,888.16, 8,125.84 and 3,404.96

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Solution

The fourth proportional to 5,888.16, 8,125.84 and 3,404.96 is: 4,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.16 : 8,125.84 = 3,404.96 : x
  2. Step 2: Convert to fraction form
    5,888.16/8,125.84 = 3,404.96/x
  3. Step 3: Cross multiply
    5,888.16x = 8,125.84 × 3,404.96
  4. Step 4: Simplify right side
    5,888.16x = 27,668,160.17
  5. Step 5: Solve for x
    x = 27,668,160.17/5,888.16
  6. Step 6: Final answer
    x = 4,698.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.