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Finding the Fourth Proportional to 4,731.32, 7,096.70 and 1,808.30

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Solution

The fourth proportional to 4,731.32, 7,096.70 and 1,808.30 is: 2,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.32 : 7,096.70 = 1,808.30 : x
  2. Step 2: Convert to fraction form
    4,731.32/7,096.70 = 1,808.30/x
  3. Step 3: Cross multiply
    4,731.32x = 7,096.70 × 1,808.30
  4. Step 4: Simplify right side
    4,731.32x = 12,832,962.61
  5. Step 5: Solve for x
    x = 12,832,962.61/4,731.32
  6. Step 6: Final answer
    x = 2,712.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.