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Finding the Fourth Proportional to 3,724.02, 5,137.02 and 2,307.06

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Solution

The fourth proportional to 3,724.02, 5,137.02 and 2,307.06 is: 3,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.02 : 5,137.02 = 2,307.06 : x
  2. Step 2: Convert to fraction form
    3,724.02/5,137.02 = 2,307.06/x
  3. Step 3: Cross multiply
    3,724.02x = 5,137.02 × 2,307.06
  4. Step 4: Simplify right side
    3,724.02x = 11,851,413.36
  5. Step 5: Solve for x
    x = 11,851,413.36/3,724.02
  6. Step 6: Final answer
    x = 3,182.42

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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.