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Finding the Fourth Proportional to 3,472.47, 4,787.02 and 2,476.01

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Solution

The fourth proportional to 3,472.47, 4,787.02 and 2,476.01 is: 3,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.47 : 4,787.02 = 2,476.01 : x
  2. Step 2: Convert to fraction form
    3,472.47/4,787.02 = 2,476.01/x
  3. Step 3: Cross multiply
    3,472.47x = 4,787.02 × 2,476.01
  4. Step 4: Simplify right side
    3,472.47x = 11,852,709.39
  5. Step 5: Solve for x
    x = 11,852,709.39/3,472.47
  6. Step 6: Final answer
    x = 3,413.34

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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.