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Finding the Fourth Proportional to 5,432.50, 8,148.76 and 1,969.76

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Solution

The fourth proportional to 5,432.50, 8,148.76 and 1,969.76 is: 2,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.50 : 8,148.76 = 1,969.76 : x
  2. Step 2: Convert to fraction form
    5,432.50/8,148.76 = 1,969.76/x
  3. Step 3: Cross multiply
    5,432.50x = 8,148.76 × 1,969.76
  4. Step 4: Simplify right side
    5,432.50x = 16,051,101.50
  5. Step 5: Solve for x
    x = 16,051,101.50/5,432.50
  6. Step 6: Final answer
    x = 2,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.