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Finding the Fourth Proportional to 4,535.68, 6,784.08 and 2,682.40

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Solution

The fourth proportional to 4,535.68, 6,784.08 and 2,682.40 is: 4,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.68 : 6,784.08 = 2,682.40 : x
  2. Step 2: Convert to fraction form
    4,535.68/6,784.08 = 2,682.40/x
  3. Step 3: Cross multiply
    4,535.68x = 6,784.08 × 2,682.40
  4. Step 4: Simplify right side
    4,535.68x = 18,197,616.19
  5. Step 5: Solve for x
    x = 18,197,616.19/4,535.68
  6. Step 6: Final answer
    x = 4,012.10

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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.