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Finding the Fourth Proportional to 5,275.60, 7,910.95 and 1,943

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Solution

The fourth proportional to 5,275.60, 7,910.95 and 1,943 is: 2,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.60 : 7,910.95 = 1,943 : x
  2. Step 2: Convert to fraction form
    5,275.60/7,910.95 = 1,943/x
  3. Step 3: Cross multiply
    5,275.60x = 7,910.95 × 1,943
  4. Step 4: Simplify right side
    5,275.60x = 15,370,975.85
  5. Step 5: Solve for x
    x = 15,370,975.85/5,275.60
  6. Step 6: Final answer
    x = 2,913.60

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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.