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Finding the Fourth Proportional to 5,908, 8,153.04 and 3,700

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Solution

The fourth proportional to 5,908, 8,153.04 and 3,700 is: 5,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908 : 8,153.04 = 3,700 : x
  2. Step 2: Convert to fraction form
    5,908/8,153.04 = 3,700/x
  3. Step 3: Cross multiply
    5,908x = 8,153.04 × 3,700
  4. Step 4: Simplify right side
    5,908x = 30,166,248
  5. Step 5: Solve for x
    x = 30,166,248/5,908
  6. Step 6: Final answer
    x = 5,106

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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.