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Finding the Fourth Proportional to 3,156.16, 4,735.84 and 2,128

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Solution

The fourth proportional to 3,156.16, 4,735.84 and 2,128 is: 3,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.16 : 4,735.84 = 2,128 : x
  2. Step 2: Convert to fraction form
    3,156.16/4,735.84 = 2,128/x
  3. Step 3: Cross multiply
    3,156.16x = 4,735.84 × 2,128
  4. Step 4: Simplify right side
    3,156.16x = 10,077,867.52
  5. Step 5: Solve for x
    x = 10,077,867.52/3,156.16
  6. Step 6: Final answer
    x = 3,193.08

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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.