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Finding the Fourth Proportional to 4,338.30, 6,506.82 and 1,564.55

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Solution

The fourth proportional to 4,338.30, 6,506.82 and 1,564.55 is: 2,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.30 : 6,506.82 = 1,564.55 : x
  2. Step 2: Convert to fraction form
    4,338.30/6,506.82 = 1,564.55/x
  3. Step 3: Cross multiply
    4,338.30x = 6,506.82 × 1,564.55
  4. Step 4: Simplify right side
    4,338.30x = 10,180,212.70
  5. Step 5: Solve for x
    x = 10,180,212.70/4,338.30
  6. Step 6: Final answer
    x = 2,346.59

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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.