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Finding the Fourth Proportional to 4,338.84, 6,508.62 and 1,567.02

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Solution

The fourth proportional to 4,338.84, 6,508.62 and 1,567.02 is: 2,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.84 : 6,508.62 = 1,567.02 : x
  2. Step 2: Convert to fraction form
    4,338.84/6,508.62 = 1,567.02/x
  3. Step 3: Cross multiply
    4,338.84x = 6,508.62 × 1,567.02
  4. Step 4: Simplify right side
    4,338.84x = 10,199,137.71
  5. Step 5: Solve for x
    x = 10,199,137.71/4,338.84
  6. Step 6: Final answer
    x = 2,350.66

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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.