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Finding the Fourth Proportional to 6,588.80, 9,880.80 and 2,638.40

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Solution

The fourth proportional to 6,588.80, 9,880.80 and 2,638.40 is: 3,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.80 : 9,880.80 = 2,638.40 : x
  2. Step 2: Convert to fraction form
    6,588.80/9,880.80 = 2,638.40/x
  3. Step 3: Cross multiply
    6,588.80x = 9,880.80 × 2,638.40
  4. Step 4: Simplify right side
    6,588.80x = 26,069,502.72
  5. Step 5: Solve for x
    x = 26,069,502.72/6,588.80
  6. Step 6: Final answer
    x = 3,956.64

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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.