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Finding the Fourth Proportional to 5,948.54, 8,209.79 and 3,430.61

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Solution

The fourth proportional to 5,948.54, 8,209.79 and 3,430.61 is: 4,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.54 : 8,209.79 = 3,430.61 : x
  2. Step 2: Convert to fraction form
    5,948.54/8,209.79 = 3,430.61/x
  3. Step 3: Cross multiply
    5,948.54x = 8,209.79 × 3,430.61
  4. Step 4: Simplify right side
    5,948.54x = 28,164,529.47
  5. Step 5: Solve for x
    x = 28,164,529.47/5,948.54
  6. Step 6: Final answer
    x = 4,734.70

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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.