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Finding the Fourth Proportional to 4,212.65, 6,310.89 and 2,358.14

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Solution

The fourth proportional to 4,212.65, 6,310.89 and 2,358.14 is: 3,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.65 : 6,310.89 = 2,358.14 : x
  2. Step 2: Convert to fraction form
    4,212.65/6,310.89 = 2,358.14/x
  3. Step 3: Cross multiply
    4,212.65x = 6,310.89 × 2,358.14
  4. Step 4: Simplify right side
    4,212.65x = 14,881,962.14
  5. Step 5: Solve for x
    x = 14,881,962.14/4,212.65
  6. Step 6: Final answer
    x = 3,532.68

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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.