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Finding the Fourth Proportional to 5,460.84, 7,535.16 and 3,102.39

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Solution

The fourth proportional to 5,460.84, 7,535.16 and 3,102.39 is: 4,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.84 : 7,535.16 = 3,102.39 : x
  2. Step 2: Convert to fraction form
    5,460.84/7,535.16 = 3,102.39/x
  3. Step 3: Cross multiply
    5,460.84x = 7,535.16 × 3,102.39
  4. Step 4: Simplify right side
    5,460.84x = 23,377,005.03
  5. Step 5: Solve for x
    x = 23,377,005.03/5,460.84
  6. Step 6: Final answer
    x = 4,280.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.