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Finding the Fourth Proportional to 4,551.44, 6,281.10 and 2,782.40

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Solution

The fourth proportional to 4,551.44, 6,281.10 and 2,782.40 is: 3,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.44 : 6,281.10 = 2,782.40 : x
  2. Step 2: Convert to fraction form
    4,551.44/6,281.10 = 2,782.40/x
  3. Step 3: Cross multiply
    4,551.44x = 6,281.10 × 2,782.40
  4. Step 4: Simplify right side
    4,551.44x = 17,476,501.23
  5. Step 5: Solve for x
    x = 17,476,501.23/4,551.44
  6. Step 6: Final answer
    x = 3,839.78

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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.