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Finding the Fourth Proportional to 4,568.59, 6,852.89 and 1,648.95

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Solution

The fourth proportional to 4,568.59, 6,852.89 and 1,648.95 is: 2,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.59 : 6,852.89 = 1,648.95 : x
  2. Step 2: Convert to fraction form
    4,568.59/6,852.89 = 1,648.95/x
  3. Step 3: Cross multiply
    4,568.59x = 6,852.89 × 1,648.95
  4. Step 4: Simplify right side
    4,568.59x = 11,300,072.97
  5. Step 5: Solve for x
    x = 11,300,072.97/4,568.59
  6. Step 6: Final answer
    x = 2,473.43

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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.