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Finding the Fourth Proportional to 4,945.73, 7,417.80 and 1,827.20

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Solution

The fourth proportional to 4,945.73, 7,417.80 and 1,827.20 is: 2,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.73 : 7,417.80 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    4,945.73/7,417.80 = 1,827.20/x
  3. Step 3: Cross multiply
    4,945.73x = 7,417.80 × 1,827.20
  4. Step 4: Simplify right side
    4,945.73x = 13,553,795.02
  5. Step 5: Solve for x
    x = 13,553,795.02/4,945.73
  6. Step 6: Final answer
    x = 2,740.51

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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.