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Finding the Fourth Proportional to 5,001.96, 6,894.29 and 4,288.46

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Solution

The fourth proportional to 5,001.96, 6,894.29 and 4,288.46 is: 5,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.96 : 6,894.29 = 4,288.46 : x
  2. Step 2: Convert to fraction form
    5,001.96/6,894.29 = 4,288.46/x
  3. Step 3: Cross multiply
    5,001.96x = 6,894.29 × 4,288.46
  4. Step 4: Simplify right side
    5,001.96x = 29,565,830.98
  5. Step 5: Solve for x
    x = 29,565,830.98/5,001.96
  6. Step 6: Final answer
    x = 5,910.85

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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.