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Finding the Fourth Proportional to 5,275.20, 7,875.38 and 4,692

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Solution

The fourth proportional to 5,275.20, 7,875.38 and 4,692 is: 7,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.20 : 7,875.38 = 4,692 : x
  2. Step 2: Convert to fraction form
    5,275.20/7,875.38 = 4,692/x
  3. Step 3: Cross multiply
    5,275.20x = 7,875.38 × 4,692
  4. Step 4: Simplify right side
    5,275.20x = 36,951,259.50
  5. Step 5: Solve for x
    x = 36,951,259.50/5,275.20
  6. Step 6: Final answer
    x = 7,004.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.