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Finding the Fourth Proportional to 3,795.66, 5,697.54 and 2,338.47

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Solution

The fourth proportional to 3,795.66, 5,697.54 and 2,338.47 is: 3,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.66 : 5,697.54 = 2,338.47 : x
  2. Step 2: Convert to fraction form
    3,795.66/5,697.54 = 2,338.47/x
  3. Step 3: Cross multiply
    3,795.66x = 5,697.54 × 2,338.47
  4. Step 4: Simplify right side
    3,795.66x = 13,323,526.36
  5. Step 5: Solve for x
    x = 13,323,526.36/3,795.66
  6. Step 6: Final answer
    x = 3,510.20

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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.