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Finding the Fourth Proportional to 4,382.48, 6,542.50 and 4,228.70

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Solution

The fourth proportional to 4,382.48, 6,542.50 and 4,228.70 is: 6,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.48 : 6,542.50 = 4,228.70 : x
  2. Step 2: Convert to fraction form
    4,382.48/6,542.50 = 4,228.70/x
  3. Step 3: Cross multiply
    4,382.48x = 6,542.50 × 4,228.70
  4. Step 4: Simplify right side
    4,382.48x = 27,666,269.75
  5. Step 5: Solve for x
    x = 27,666,269.75/4,382.48
  6. Step 6: Final answer
    x = 6,312.93

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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.