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Finding the Fourth Proportional to 4,282.52, 6,424.01 and 4,048.77

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Solution

The fourth proportional to 4,282.52, 6,424.01 and 4,048.77 is: 6,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.52 : 6,424.01 = 4,048.77 : x
  2. Step 2: Convert to fraction form
    4,282.52/6,424.01 = 4,048.77/x
  3. Step 3: Cross multiply
    4,282.52x = 6,424.01 × 4,048.77
  4. Step 4: Simplify right side
    4,282.52x = 26,009,318.72
  5. Step 5: Solve for x
    x = 26,009,318.72/4,282.52
  6. Step 6: Final answer
    x = 6,073.37

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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.