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Finding the Fourth Proportional to 5,739.84, 7,900.83 and 5,030.01

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Solution

The fourth proportional to 5,739.84, 7,900.83 and 5,030.01 is: 6,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.84 : 7,900.83 = 5,030.01 : x
  2. Step 2: Convert to fraction form
    5,739.84/7,900.83 = 5,030.01/x
  3. Step 3: Cross multiply
    5,739.84x = 7,900.83 × 5,030.01
  4. Step 4: Simplify right side
    5,739.84x = 39,741,253.91
  5. Step 5: Solve for x
    x = 39,741,253.91/5,739.84
  6. Step 6: Final answer
    x = 6,923.76

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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.