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Finding the Fourth Proportional to 5,356, 8,034 and 1,658.08

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Solution

The fourth proportional to 5,356, 8,034 and 1,658.08 is: 2,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356 : 8,034 = 1,658.08 : x
  2. Step 2: Convert to fraction form
    5,356/8,034 = 1,658.08/x
  3. Step 3: Cross multiply
    5,356x = 8,034 × 1,658.08
  4. Step 4: Simplify right side
    5,356x = 13,321,014.72
  5. Step 5: Solve for x
    x = 13,321,014.72/5,356
  6. Step 6: Final answer
    x = 2,487.12

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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.