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Finding the Fourth Proportional to 4,230.51, 5,878.37 and 4,184.88

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Solution

The fourth proportional to 4,230.51, 5,878.37 and 4,184.88 is: 5,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.51 : 5,878.37 = 4,184.88 : x
  2. Step 2: Convert to fraction form
    4,230.51/5,878.37 = 4,184.88/x
  3. Step 3: Cross multiply
    4,230.51x = 5,878.37 × 4,184.88
  4. Step 4: Simplify right side
    4,230.51x = 24,600,252.12
  5. Step 5: Solve for x
    x = 24,600,252.12/4,230.51
  6. Step 6: Final answer
    x = 5,814.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.