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Finding the Fourth Proportional to 5,354.73, 8,032.44 and 1,656.65

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Solution

The fourth proportional to 5,354.73, 8,032.44 and 1,656.65 is: 2,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.73 : 8,032.44 = 1,656.65 : x
  2. Step 2: Convert to fraction form
    5,354.73/8,032.44 = 1,656.65/x
  3. Step 3: Cross multiply
    5,354.73x = 8,032.44 × 1,656.65
  4. Step 4: Simplify right side
    5,354.73x = 13,306,963.36
  5. Step 5: Solve for x
    x = 13,306,963.36/5,354.73
  6. Step 6: Final answer
    x = 2,485.08

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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.