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Finding the Fourth Proportional to 4,405.86, 6,607.04 and 1,284.80

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Solution

The fourth proportional to 4,405.86, 6,607.04 and 1,284.80 is: 1,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.86 : 6,607.04 = 1,284.80 : x
  2. Step 2: Convert to fraction form
    4,405.86/6,607.04 = 1,284.80/x
  3. Step 3: Cross multiply
    4,405.86x = 6,607.04 × 1,284.80
  4. Step 4: Simplify right side
    4,405.86x = 8,488,685.53
  5. Step 5: Solve for x
    x = 8,488,685.53/4,405.86
  6. Step 6: Final answer
    x = 1,926.68

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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.