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Finding the Fourth Proportional to 3,886.45, 5,830.54 and 1,421.21

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Solution

The fourth proportional to 3,886.45, 5,830.54 and 1,421.21 is: 2,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.45 : 5,830.54 = 1,421.21 : x
  2. Step 2: Convert to fraction form
    3,886.45/5,830.54 = 1,421.21/x
  3. Step 3: Cross multiply
    3,886.45x = 5,830.54 × 1,421.21
  4. Step 4: Simplify right side
    3,886.45x = 8,286,432.78
  5. Step 5: Solve for x
    x = 8,286,432.78/3,886.45
  6. Step 6: Final answer
    x = 2,132.14

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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.