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Finding the Fourth Proportional to 5,374.08, 7,416.23 and 3,016.22

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Solution

The fourth proportional to 5,374.08, 7,416.23 and 3,016.22 is: 4,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.08 : 7,416.23 = 3,016.22 : x
  2. Step 2: Convert to fraction form
    5,374.08/7,416.23 = 3,016.22/x
  3. Step 3: Cross multiply
    5,374.08x = 7,416.23 × 3,016.22
  4. Step 4: Simplify right side
    5,374.08x = 22,368,984.71
  5. Step 5: Solve for x
    x = 22,368,984.71/5,374.08
  6. Step 6: Final answer
    x = 4,162.38

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Why These Related Problems?

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