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Finding the Fourth Proportional to 4,341.56, 6,512.36 and 1,567.71

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Solution

The fourth proportional to 4,341.56, 6,512.36 and 1,567.71 is: 2,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.56 : 6,512.36 = 1,567.71 : x
  2. Step 2: Convert to fraction form
    4,341.56/6,512.36 = 1,567.71/x
  3. Step 3: Cross multiply
    4,341.56x = 6,512.36 × 1,567.71
  4. Step 4: Simplify right side
    4,341.56x = 10,209,484.06
  5. Step 5: Solve for x
    x = 10,209,484.06/4,341.56
  6. Step 6: Final answer
    x = 2,351.57

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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.