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Finding the Fourth Proportional to 4,633.36, 6,404.04 and 4,098.46

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Solution

The fourth proportional to 4,633.36, 6,404.04 and 4,098.46 is: 5,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.36 : 6,404.04 = 4,098.46 : x
  2. Step 2: Convert to fraction form
    4,633.36/6,404.04 = 4,098.46/x
  3. Step 3: Cross multiply
    4,633.36x = 6,404.04 × 4,098.46
  4. Step 4: Simplify right side
    4,633.36x = 26,246,701.78
  5. Step 5: Solve for x
    x = 26,246,701.78/4,633.36
  6. Step 6: Final answer
    x = 5,664.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.