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Finding the Fourth Proportional to 4,186.65, 6,304.47 and 3,098.67

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Solution

The fourth proportional to 4,186.65, 6,304.47 and 3,098.67 is: 4,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.65 : 6,304.47 = 3,098.67 : x
  2. Step 2: Convert to fraction form
    4,186.65/6,304.47 = 3,098.67/x
  3. Step 3: Cross multiply
    4,186.65x = 6,304.47 × 3,098.67
  4. Step 4: Simplify right side
    4,186.65x = 19,535,472.05
  5. Step 5: Solve for x
    x = 19,535,472.05/4,186.65
  6. Step 6: Final answer
    x = 4,666.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.