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Finding the Fourth Proportional to 4,737.36, 6,534.08 and 3,478

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Solution

The fourth proportional to 4,737.36, 6,534.08 and 3,478 is: 4,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.36 : 6,534.08 = 3,478 : x
  2. Step 2: Convert to fraction form
    4,737.36/6,534.08 = 3,478/x
  3. Step 3: Cross multiply
    4,737.36x = 6,534.08 × 3,478
  4. Step 4: Simplify right side
    4,737.36x = 22,725,530.24
  5. Step 5: Solve for x
    x = 22,725,530.24/4,737.36
  6. Step 6: Final answer
    x = 4,797.09

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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.