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Finding the Fourth Proportional to 3,886.76, 5,820.14 and 2,125.28

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Solution

The fourth proportional to 3,886.76, 5,820.14 and 2,125.28 is: 3,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.76 : 5,820.14 = 2,125.28 : x
  2. Step 2: Convert to fraction form
    3,886.76/5,820.14 = 2,125.28/x
  3. Step 3: Cross multiply
    3,886.76x = 5,820.14 × 2,125.28
  4. Step 4: Simplify right side
    3,886.76x = 12,369,427.14
  5. Step 5: Solve for x
    x = 12,369,427.14/3,886.76
  6. Step 6: Final answer
    x = 3,182.45

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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.