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Finding the Fourth Proportional to 3,902.08, 5,851.68 and 2,606.08

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Solution

The fourth proportional to 3,902.08, 5,851.68 and 2,606.08 is: 3,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.08 : 5,851.68 = 2,606.08 : x
  2. Step 2: Convert to fraction form
    3,902.08/5,851.68 = 2,606.08/x
  3. Step 3: Cross multiply
    3,902.08x = 5,851.68 × 2,606.08
  4. Step 4: Simplify right side
    3,902.08x = 15,249,946.21
  5. Step 5: Solve for x
    x = 15,249,946.21/3,902.08
  6. Step 6: Final answer
    x = 3,908.16

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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.