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Finding the Fourth Proportional to 3,598.65, 5,390.91 and 3,206.82

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Solution

The fourth proportional to 3,598.65, 5,390.91 and 3,206.82 is: 4,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.65 : 5,390.91 = 3,206.82 : x
  2. Step 2: Convert to fraction form
    3,598.65/5,390.91 = 3,206.82/x
  3. Step 3: Cross multiply
    3,598.65x = 5,390.91 × 3,206.82
  4. Step 4: Simplify right side
    3,598.65x = 17,287,678.01
  5. Step 5: Solve for x
    x = 17,287,678.01/3,598.65
  6. Step 6: Final answer
    x = 4,803.93

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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.