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Finding the Fourth Proportional to 4,199.60, 5,799.12 and 2,630.40

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Solution

The fourth proportional to 4,199.60, 5,799.12 and 2,630.40 is: 3,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.60 : 5,799.12 = 2,630.40 : x
  2. Step 2: Convert to fraction form
    4,199.60/5,799.12 = 2,630.40/x
  3. Step 3: Cross multiply
    4,199.60x = 5,799.12 × 2,630.40
  4. Step 4: Simplify right side
    4,199.60x = 15,254,005.25
  5. Step 5: Solve for x
    x = 15,254,005.25/4,199.60
  6. Step 6: Final answer
    x = 3,632.25

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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.