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Finding the Fourth Proportional to 3,284.64, 4,530.72 and 2,107.20

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Solution

The fourth proportional to 3,284.64, 4,530.72 and 2,107.20 is: 2,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.64 : 4,530.72 = 2,107.20 : x
  2. Step 2: Convert to fraction form
    3,284.64/4,530.72 = 2,107.20/x
  3. Step 3: Cross multiply
    3,284.64x = 4,530.72 × 2,107.20
  4. Step 4: Simplify right side
    3,284.64x = 9,547,133.18
  5. Step 5: Solve for x
    x = 9,547,133.18/3,284.64
  6. Step 6: Final answer
    x = 2,906.60

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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.