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Finding the Fourth Proportional to 5,095.69, 7,034.06 and 3,416.49

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Solution

The fourth proportional to 5,095.69, 7,034.06 and 3,416.49 is: 4,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.69 : 7,034.06 = 3,416.49 : x
  2. Step 2: Convert to fraction form
    5,095.69/7,034.06 = 3,416.49/x
  3. Step 3: Cross multiply
    5,095.69x = 7,034.06 × 3,416.49
  4. Step 4: Simplify right side
    5,095.69x = 24,031,795.65
  5. Step 5: Solve for x
    x = 24,031,795.65/5,095.69
  6. Step 6: Final answer
    x = 4,716.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.