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Finding the Fourth Proportional to 5,275.67, 7,913.87 and 1,577.60

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Solution

The fourth proportional to 5,275.67, 7,913.87 and 1,577.60 is: 2,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.67 : 7,913.87 = 1,577.60 : x
  2. Step 2: Convert to fraction form
    5,275.67/7,913.87 = 1,577.60/x
  3. Step 3: Cross multiply
    5,275.67x = 7,913.87 × 1,577.60
  4. Step 4: Simplify right side
    5,275.67x = 12,484,885.69
  5. Step 5: Solve for x
    x = 12,484,885.69/5,275.67
  6. Step 6: Final answer
    x = 2,366.50

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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.