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Finding the Fourth Proportional to 4,284.69, 6,419.69 and 2,876.47

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Solution

The fourth proportional to 4,284.69, 6,419.69 and 2,876.47 is: 4,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.69 : 6,419.69 = 2,876.47 : x
  2. Step 2: Convert to fraction form
    4,284.69/6,419.69 = 2,876.47/x
  3. Step 3: Cross multiply
    4,284.69x = 6,419.69 × 2,876.47
  4. Step 4: Simplify right side
    4,284.69x = 18,466,045.69
  5. Step 5: Solve for x
    x = 18,466,045.69/4,284.69
  6. Step 6: Final answer
    x = 4,309.77

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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.