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Finding the Fourth Proportional to 5,053.94, 7,581.71 and 1,543.14

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Solution

The fourth proportional to 5,053.94, 7,581.71 and 1,543.14 is: 2,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.94 : 7,581.71 = 1,543.14 : x
  2. Step 2: Convert to fraction form
    5,053.94/7,581.71 = 1,543.14/x
  3. Step 3: Cross multiply
    5,053.94x = 7,581.71 × 1,543.14
  4. Step 4: Simplify right side
    5,053.94x = 11,699,632.25
  5. Step 5: Solve for x
    x = 11,699,632.25/5,053.94
  6. Step 6: Final answer
    x = 2,314.96

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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.