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Finding the Fourth Proportional to 5,739.78, 8,606.73 and 2,041.53

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Solution

The fourth proportional to 5,739.78, 8,606.73 and 2,041.53 is: 3,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.78 : 8,606.73 = 2,041.53 : x
  2. Step 2: Convert to fraction form
    5,739.78/8,606.73 = 2,041.53/x
  3. Step 3: Cross multiply
    5,739.78x = 8,606.73 × 2,041.53
  4. Step 4: Simplify right side
    5,739.78x = 17,570,897.50
  5. Step 5: Solve for x
    x = 17,570,897.50/5,739.78
  6. Step 6: Final answer
    x = 3,061.25

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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.