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Finding the Fourth Proportional to 3,048.20, 4,572.28 and 856.82

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Solution

The fourth proportional to 3,048.20, 4,572.28 and 856.82 is: 1,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.20 : 4,572.28 = 856.82 : x
  2. Step 2: Convert to fraction form
    3,048.20/4,572.28 = 856.82/x
  3. Step 3: Cross multiply
    3,048.20x = 4,572.28 × 856.82
  4. Step 4: Simplify right side
    3,048.20x = 3,917,620.95
  5. Step 5: Solve for x
    x = 3,917,620.95/3,048.20
  6. Step 6: Final answer
    x = 1,285.22

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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.