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Finding the Fourth Proportional to 4,554, 6,282.30 and 2,782.52

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Solution

The fourth proportional to 4,554, 6,282.30 and 2,782.52 is: 3,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554 : 6,282.30 = 2,782.52 : x
  2. Step 2: Convert to fraction form
    4,554/6,282.30 = 2,782.52/x
  3. Step 3: Cross multiply
    4,554x = 6,282.30 × 2,782.52
  4. Step 4: Simplify right side
    4,554x = 17,480,625.40
  5. Step 5: Solve for x
    x = 17,480,625.40/4,554
  6. Step 6: Final answer
    x = 3,838.52

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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.