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Finding the Fourth Proportional to 3,048.24, 4,572.53 and 857.14

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Solution

The fourth proportional to 3,048.24, 4,572.53 and 857.14 is: 1,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.24 : 4,572.53 = 857.14 : x
  2. Step 2: Convert to fraction form
    3,048.24/4,572.53 = 857.14/x
  3. Step 3: Cross multiply
    3,048.24x = 4,572.53 × 857.14
  4. Step 4: Simplify right side
    3,048.24x = 3,919,298.36
  5. Step 5: Solve for x
    x = 3,919,298.36/3,048.24
  6. Step 6: Final answer
    x = 1,285.76

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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.