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Finding the Fourth Proportional to 3,109.64, 4,292.16 and 2,116.58

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Solution

The fourth proportional to 3,109.64, 4,292.16 and 2,116.58 is: 2,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 4,292.16 = 2,116.58 : x
  2. Step 2: Convert to fraction form
    3,109.64/4,292.16 = 2,116.58/x
  3. Step 3: Cross multiply
    3,109.64x = 4,292.16 × 2,116.58
  4. Step 4: Simplify right side
    3,109.64x = 9,084,700.01
  5. Step 5: Solve for x
    x = 9,084,700.01/3,109.64
  6. Step 6: Final answer
    x = 2,921.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.