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Finding the Fourth Proportional to 2,572.37, 3,858.53 and 723.39

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Solution

The fourth proportional to 2,572.37, 3,858.53 and 723.39 is: 1,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.37 : 3,858.53 = 723.39 : x
  2. Step 2: Convert to fraction form
    2,572.37/3,858.53 = 723.39/x
  3. Step 3: Cross multiply
    2,572.37x = 3,858.53 × 723.39
  4. Step 4: Simplify right side
    2,572.37x = 2,791,218.40
  5. Step 5: Solve for x
    x = 2,791,218.40/2,572.37
  6. Step 6: Final answer
    x = 1,085.08

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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.