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Finding the Fourth Proportional to 3,074.64, 4,589.60 and 2,685.84

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Solution

The fourth proportional to 3,074.64, 4,589.60 and 2,685.84 is: 4,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.64 : 4,589.60 = 2,685.84 : x
  2. Step 2: Convert to fraction form
    3,074.64/4,589.60 = 2,685.84/x
  3. Step 3: Cross multiply
    3,074.64x = 4,589.60 × 2,685.84
  4. Step 4: Simplify right side
    3,074.64x = 12,326,931.26
  5. Step 5: Solve for x
    x = 12,326,931.26/3,074.64
  6. Step 6: Final answer
    x = 4,009.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.