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Finding the Fourth Proportional to 4,214.70, 6,325.65 and 1,878.30

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Solution

The fourth proportional to 4,214.70, 6,325.65 and 1,878.30 is: 2,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.70 : 6,325.65 = 1,878.30 : x
  2. Step 2: Convert to fraction form
    4,214.70/6,325.65 = 1,878.30/x
  3. Step 3: Cross multiply
    4,214.70x = 6,325.65 × 1,878.30
  4. Step 4: Simplify right side
    4,214.70x = 11,881,468.40
  5. Step 5: Solve for x
    x = 11,881,468.40/4,214.70
  6. Step 6: Final answer
    x = 2,819.05

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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.