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Finding the Fourth Proportional to 3,287.40, 4,925.16 and 2,820.84

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Solution

The fourth proportional to 3,287.40, 4,925.16 and 2,820.84 is: 4,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.40 : 4,925.16 = 2,820.84 : x
  2. Step 2: Convert to fraction form
    3,287.40/4,925.16 = 2,820.84/x
  3. Step 3: Cross multiply
    3,287.40x = 4,925.16 × 2,820.84
  4. Step 4: Simplify right side
    3,287.40x = 13,893,088.33
  5. Step 5: Solve for x
    x = 13,893,088.33/3,287.40
  6. Step 6: Final answer
    x = 4,226.16

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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.