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Finding the Fourth Proportional to 3,358.64, 4,637.04 and 2,164.16

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Solution

The fourth proportional to 3,358.64, 4,637.04 and 2,164.16 is: 2,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.64 : 4,637.04 = 2,164.16 : x
  2. Step 2: Convert to fraction form
    3,358.64/4,637.04 = 2,164.16/x
  3. Step 3: Cross multiply
    3,358.64x = 4,637.04 × 2,164.16
  4. Step 4: Simplify right side
    3,358.64x = 10,035,296.49
  5. Step 5: Solve for x
    x = 10,035,296.49/3,358.64
  6. Step 6: Final answer
    x = 2,987.90

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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.