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Finding the Fourth Proportional to 4,341.87, 6,511.35 and 1,419.49

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Solution

The fourth proportional to 4,341.87, 6,511.35 and 1,419.49 is: 2,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.87 : 6,511.35 = 1,419.49 : x
  2. Step 2: Convert to fraction form
    4,341.87/6,511.35 = 1,419.49/x
  3. Step 3: Cross multiply
    4,341.87x = 6,511.35 × 1,419.49
  4. Step 4: Simplify right side
    4,341.87x = 9,242,789.11
  5. Step 5: Solve for x
    x = 9,242,789.11/4,341.87
  6. Step 6: Final answer
    x = 2,128.76

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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.