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Finding the Fourth Proportional to 4,650.52, 6,976.40 and 1,363.84

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Solution

The fourth proportional to 4,650.52, 6,976.40 and 1,363.84 is: 2,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.52 : 6,976.40 = 1,363.84 : x
  2. Step 2: Convert to fraction form
    4,650.52/6,976.40 = 1,363.84/x
  3. Step 3: Cross multiply
    4,650.52x = 6,976.40 × 1,363.84
  4. Step 4: Simplify right side
    4,650.52x = 9,514,693.38
  5. Step 5: Solve for x
    x = 9,514,693.38/4,650.52
  6. Step 6: Final answer
    x = 2,045.94

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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.