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Finding the Fourth Proportional to 4,314.47, 6,473.12 and 1,392.80

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Solution

The fourth proportional to 4,314.47, 6,473.12 and 1,392.80 is: 2,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.47 : 6,473.12 = 1,392.80 : x
  2. Step 2: Convert to fraction form
    4,314.47/6,473.12 = 1,392.80/x
  3. Step 3: Cross multiply
    4,314.47x = 6,473.12 × 1,392.80
  4. Step 4: Simplify right side
    4,314.47x = 9,015,722.21
  5. Step 5: Solve for x
    x = 9,015,722.21/4,314.47
  6. Step 6: Final answer
    x = 2,089.65

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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.