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Finding the Fourth Proportional to 4,102.84, 5,660.08 and 2,530

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Solution

The fourth proportional to 4,102.84, 5,660.08 and 2,530 is: 3,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.84 : 5,660.08 = 2,530 : x
  2. Step 2: Convert to fraction form
    4,102.84/5,660.08 = 2,530/x
  3. Step 3: Cross multiply
    4,102.84x = 5,660.08 × 2,530
  4. Step 4: Simplify right side
    4,102.84x = 14,320,002.40
  5. Step 5: Solve for x
    x = 14,320,002.40/4,102.84
  6. Step 6: Final answer
    x = 3,490.27

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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.