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Finding the Fourth Proportional to 4,375.40, 6,564.70 and 2,293.16

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Solution

The fourth proportional to 4,375.40, 6,564.70 and 2,293.16 is: 3,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.40 : 6,564.70 = 2,293.16 : x
  2. Step 2: Convert to fraction form
    4,375.40/6,564.70 = 2,293.16/x
  3. Step 3: Cross multiply
    4,375.40x = 6,564.70 × 2,293.16
  4. Step 4: Simplify right side
    4,375.40x = 15,053,907.45
  5. Step 5: Solve for x
    x = 15,053,907.45/4,375.40
  6. Step 6: Final answer
    x = 3,440.58

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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.