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Finding the Fourth Proportional to 7,254.38, 10,880.48 and 2,323.50

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Solution

The fourth proportional to 7,254.38, 10,880.48 and 2,323.50 is: 3,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.38 : 10,880.48 = 2,323.50 : x
  2. Step 2: Convert to fraction form
    7,254.38/10,880.48 = 2,323.50/x
  3. Step 3: Cross multiply
    7,254.38x = 10,880.48 × 2,323.50
  4. Step 4: Simplify right side
    7,254.38x = 25,280,795.28
  5. Step 5: Solve for x
    x = 25,280,795.28/7,254.38
  6. Step 6: Final answer
    x = 3,484.90

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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.