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Finding the Fourth Proportional to 5,356.64, 8,036.08 and 1,658.72

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Solution

The fourth proportional to 5,356.64, 8,036.08 and 1,658.72 is: 2,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.64 : 8,036.08 = 1,658.72 : x
  2. Step 2: Convert to fraction form
    5,356.64/8,036.08 = 1,658.72/x
  3. Step 3: Cross multiply
    5,356.64x = 8,036.08 × 1,658.72
  4. Step 4: Simplify right side
    5,356.64x = 13,329,606.62
  5. Step 5: Solve for x
    x = 13,329,606.62/5,356.64
  6. Step 6: Final answer
    x = 2,488.43

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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.