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Finding the Fourth Proportional to 4,314.33, 6,473.45 and 2,754

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Solution

The fourth proportional to 4,314.33, 6,473.45 and 2,754 is: 4,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.33 : 6,473.45 = 2,754 : x
  2. Step 2: Convert to fraction form
    4,314.33/6,473.45 = 2,754/x
  3. Step 3: Cross multiply
    4,314.33x = 6,473.45 × 2,754
  4. Step 4: Simplify right side
    4,314.33x = 17,827,888.19
  5. Step 5: Solve for x
    x = 17,827,888.19/4,314.33
  6. Step 6: Final answer
    x = 4,132.25

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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.