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Finding the Fourth Proportional to 4,338.07, 6,504.46 and 1,702.42

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Solution

The fourth proportional to 4,338.07, 6,504.46 and 1,702.42 is: 2,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.07 : 6,504.46 = 1,702.42 : x
  2. Step 2: Convert to fraction form
    4,338.07/6,504.46 = 1,702.42/x
  3. Step 3: Cross multiply
    4,338.07x = 6,504.46 × 1,702.42
  4. Step 4: Simplify right side
    4,338.07x = 11,073,322.79
  5. Step 5: Solve for x
    x = 11,073,322.79/4,338.07
  6. Step 6: Final answer
    x = 2,552.59

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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.