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Finding the Fourth Proportional to 3,487, 4,812.42 and 2,089.48

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Solution

The fourth proportional to 3,487, 4,812.42 and 2,089.48 is: 2,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487 : 4,812.42 = 2,089.48 : x
  2. Step 2: Convert to fraction form
    3,487/4,812.42 = 2,089.48/x
  3. Step 3: Cross multiply
    3,487x = 4,812.42 × 2,089.48
  4. Step 4: Simplify right side
    3,487x = 10,055,455.34
  5. Step 5: Solve for x
    x = 10,055,455.34/3,487
  6. Step 6: Final answer
    x = 2,883.70

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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.