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Finding the Fourth Proportional to 6,484.91, 9,708.62 and 3,808.40

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Solution

The fourth proportional to 6,484.91, 9,708.62 and 3,808.40 is: 5,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.91 : 9,708.62 = 3,808.40 : x
  2. Step 2: Convert to fraction form
    6,484.91/9,708.62 = 3,808.40/x
  3. Step 3: Cross multiply
    6,484.91x = 9,708.62 × 3,808.40
  4. Step 4: Simplify right side
    6,484.91x = 36,974,259.86
  5. Step 5: Solve for x
    x = 36,974,259.86/6,484.91
  6. Step 6: Final answer
    x = 5,701.58

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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.