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Finding the Fourth Proportional to 5,710.13, 8,544.44 and 4,713.68

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Solution

The fourth proportional to 5,710.13, 8,544.44 and 4,713.68 is: 7,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.13 : 8,544.44 = 4,713.68 : x
  2. Step 2: Convert to fraction form
    5,710.13/8,544.44 = 4,713.68/x
  3. Step 3: Cross multiply
    5,710.13x = 8,544.44 × 4,713.68
  4. Step 4: Simplify right side
    5,710.13x = 40,275,689.65
  5. Step 5: Solve for x
    x = 40,275,689.65/5,710.13
  6. Step 6: Final answer
    x = 7,053.37

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Why These Related Problems?

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