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Finding the Fourth Proportional to 3,421.71, 5,132.82 and 1,230.45

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Solution

The fourth proportional to 3,421.71, 5,132.82 and 1,230.45 is: 1,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.71 : 5,132.82 = 1,230.45 : x
  2. Step 2: Convert to fraction form
    3,421.71/5,132.82 = 1,230.45/x
  3. Step 3: Cross multiply
    3,421.71x = 5,132.82 × 1,230.45
  4. Step 4: Simplify right side
    3,421.71x = 6,315,678.37
  5. Step 5: Solve for x
    x = 6,315,678.37/3,421.71
  6. Step 6: Final answer
    x = 1,845.77

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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.