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Finding the Fourth Proportional to 3,319.86, 4,973.19 and 3,047.70

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Solution

The fourth proportional to 3,319.86, 4,973.19 and 3,047.70 is: 4,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.86 : 4,973.19 = 3,047.70 : x
  2. Step 2: Convert to fraction form
    3,319.86/4,973.19 = 3,047.70/x
  3. Step 3: Cross multiply
    3,319.86x = 4,973.19 × 3,047.70
  4. Step 4: Simplify right side
    3,319.86x = 15,156,791.16
  5. Step 5: Solve for x
    x = 15,156,791.16/3,319.86
  6. Step 6: Final answer
    x = 4,565.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.