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Finding the Fourth Proportional to 4,607.20, 6,898.02 and 3,795.22

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Solution

The fourth proportional to 4,607.20, 6,898.02 and 3,795.22 is: 5,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.20 : 6,898.02 = 3,795.22 : x
  2. Step 2: Convert to fraction form
    4,607.20/6,898.02 = 3,795.22/x
  3. Step 3: Cross multiply
    4,607.20x = 6,898.02 × 3,795.22
  4. Step 4: Simplify right side
    4,607.20x = 26,179,503.46
  5. Step 5: Solve for x
    x = 26,179,503.46/4,607.20
  6. Step 6: Final answer
    x = 5,682.30

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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.