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Finding the Fourth Proportional to 5,498.51, 8,246.40 and 2,496.86

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Solution

The fourth proportional to 5,498.51, 8,246.40 and 2,496.86 is: 3,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.51 : 8,246.40 = 2,496.86 : x
  2. Step 2: Convert to fraction form
    5,498.51/8,246.40 = 2,496.86/x
  3. Step 3: Cross multiply
    5,498.51x = 8,246.40 × 2,496.86
  4. Step 4: Simplify right side
    5,498.51x = 20,590,065.07
  5. Step 5: Solve for x
    x = 20,590,065.07/5,498.51
  6. Step 6: Final answer
    x = 3,744.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.