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Finding the Fourth Proportional to 4,812.53, 6,641.40 and 2,824.52

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Solution

The fourth proportional to 4,812.53, 6,641.40 and 2,824.52 is: 3,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.53 : 6,641.40 = 2,824.52 : x
  2. Step 2: Convert to fraction form
    4,812.53/6,641.40 = 2,824.52/x
  3. Step 3: Cross multiply
    4,812.53x = 6,641.40 × 2,824.52
  4. Step 4: Simplify right side
    4,812.53x = 18,758,794.32
  5. Step 5: Solve for x
    x = 18,758,794.32/4,812.53
  6. Step 6: Final answer
    x = 3,897.90

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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.