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Finding the Fourth Proportional to 5,275.84, 7,913.70 and 2,968.96

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Solution

The fourth proportional to 5,275.84, 7,913.70 and 2,968.96 is: 4,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.84 : 7,913.70 = 2,968.96 : x
  2. Step 2: Convert to fraction form
    5,275.84/7,913.70 = 2,968.96/x
  3. Step 3: Cross multiply
    5,275.84x = 7,913.70 × 2,968.96
  4. Step 4: Simplify right side
    5,275.84x = 23,495,458.75
  5. Step 5: Solve for x
    x = 23,495,458.75/5,275.84
  6. Step 6: Final answer
    x = 4,453.41

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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.