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Finding the Fourth Proportional to 5,894.76, 8,125.02 and 4,005.48

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Solution

The fourth proportional to 5,894.76, 8,125.02 and 4,005.48 is: 5,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.76 : 8,125.02 = 4,005.48 : x
  2. Step 2: Convert to fraction form
    5,894.76/8,125.02 = 4,005.48/x
  3. Step 3: Cross multiply
    5,894.76x = 8,125.02 × 4,005.48
  4. Step 4: Simplify right side
    5,894.76x = 32,544,605.11
  5. Step 5: Solve for x
    x = 32,544,605.11/5,894.76
  6. Step 6: Final answer
    x = 5,520.94

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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.