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Finding the Fourth Proportional to 5,356.89, 8,036.31 and 1,658.87

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Solution

The fourth proportional to 5,356.89, 8,036.31 and 1,658.87 is: 2,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.89 : 8,036.31 = 1,658.87 : x
  2. Step 2: Convert to fraction form
    5,356.89/8,036.31 = 1,658.87/x
  3. Step 3: Cross multiply
    5,356.89x = 8,036.31 × 1,658.87
  4. Step 4: Simplify right side
    5,356.89x = 13,331,150.28
  5. Step 5: Solve for x
    x = 13,331,150.28/5,356.89
  6. Step 6: Final answer
    x = 2,488.60

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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.