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Finding the Fourth Proportional to 5,048.48, 6,966.60 and 3,473.84

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Solution

The fourth proportional to 5,048.48, 6,966.60 and 3,473.84 is: 4,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.48 : 6,966.60 = 3,473.84 : x
  2. Step 2: Convert to fraction form
    5,048.48/6,966.60 = 3,473.84/x
  3. Step 3: Cross multiply
    5,048.48x = 6,966.60 × 3,473.84
  4. Step 4: Simplify right side
    5,048.48x = 24,200,853.74
  5. Step 5: Solve for x
    x = 24,200,853.74/5,048.48
  6. Step 6: Final answer
    x = 4,793.69

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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.