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Finding the Fourth Proportional to 5,701.64, 7,838.06 and 4,902.02

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Solution

The fourth proportional to 5,701.64, 7,838.06 and 4,902.02 is: 6,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.64 : 7,838.06 = 4,902.02 : x
  2. Step 2: Convert to fraction form
    5,701.64/7,838.06 = 4,902.02/x
  3. Step 3: Cross multiply
    5,701.64x = 7,838.06 × 4,902.02
  4. Step 4: Simplify right side
    5,701.64x = 38,422,263.18
  5. Step 5: Solve for x
    x = 38,422,263.18/5,701.64
  6. Step 6: Final answer
    x = 6,738.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.