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Finding the Fourth Proportional to 4,341.66, 6,511.14 and 1,567.97

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Solution

The fourth proportional to 4,341.66, 6,511.14 and 1,567.97 is: 2,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.66 : 6,511.14 = 1,567.97 : x
  2. Step 2: Convert to fraction form
    4,341.66/6,511.14 = 1,567.97/x
  3. Step 3: Cross multiply
    4,341.66x = 6,511.14 × 1,567.97
  4. Step 4: Simplify right side
    4,341.66x = 10,209,272.19
  5. Step 5: Solve for x
    x = 10,209,272.19/4,341.66
  6. Step 6: Final answer
    x = 2,351.47

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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.