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Finding the Fourth Proportional to 4,314.66, 6,473 and 1,392.72

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Solution

The fourth proportional to 4,314.66, 6,473 and 1,392.72 is: 2,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.66 : 6,473 = 1,392.72 : x
  2. Step 2: Convert to fraction form
    4,314.66/6,473 = 1,392.72/x
  3. Step 3: Cross multiply
    4,314.66x = 6,473 × 1,392.72
  4. Step 4: Simplify right side
    4,314.66x = 9,015,076.56
  5. Step 5: Solve for x
    x = 9,015,076.56/4,314.66
  6. Step 6: Final answer
    x = 2,089.41

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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.