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Finding the Fourth Proportional to 5,298.81, 7,309.04 and 3,412.86

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Solution

The fourth proportional to 5,298.81, 7,309.04 and 3,412.86 is: 4,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.81 : 7,309.04 = 3,412.86 : x
  2. Step 2: Convert to fraction form
    5,298.81/7,309.04 = 3,412.86/x
  3. Step 3: Cross multiply
    5,298.81x = 7,309.04 × 3,412.86
  4. Step 4: Simplify right side
    5,298.81x = 24,944,713.19
  5. Step 5: Solve for x
    x = 24,944,713.19/5,298.81
  6. Step 6: Final answer
    x = 4,707.61

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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.