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Finding the Fourth Proportional to 4,677.24, 7,015.88 and 1,214.52

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Solution

The fourth proportional to 4,677.24, 7,015.88 and 1,214.52 is: 1,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.24 : 7,015.88 = 1,214.52 : x
  2. Step 2: Convert to fraction form
    4,677.24/7,015.88 = 1,214.52/x
  3. Step 3: Cross multiply
    4,677.24x = 7,015.88 × 1,214.52
  4. Step 4: Simplify right side
    4,677.24x = 8,520,926.58
  5. Step 5: Solve for x
    x = 8,520,926.58/4,677.24
  6. Step 6: Final answer
    x = 1,821.79

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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.