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Finding the Fourth Proportional to 4,365.68, 6,551.42 and 2,609.40

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Solution

The fourth proportional to 4,365.68, 6,551.42 and 2,609.40 is: 3,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.68 : 6,551.42 = 2,609.40 : x
  2. Step 2: Convert to fraction form
    4,365.68/6,551.42 = 2,609.40/x
  3. Step 3: Cross multiply
    4,365.68x = 6,551.42 × 2,609.40
  4. Step 4: Simplify right side
    4,365.68x = 17,095,275.35
  5. Step 5: Solve for x
    x = 17,095,275.35/4,365.68
  6. Step 6: Final answer
    x = 3,915.83

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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.