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Finding the Fourth Proportional to 5,984.16, 8,978.07 and 3,064.53

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Solution

The fourth proportional to 5,984.16, 8,978.07 and 3,064.53 is: 4,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.16 : 8,978.07 = 3,064.53 : x
  2. Step 2: Convert to fraction form
    5,984.16/8,978.07 = 3,064.53/x
  3. Step 3: Cross multiply
    5,984.16x = 8,978.07 × 3,064.53
  4. Step 4: Simplify right side
    5,984.16x = 27,513,564.86
  5. Step 5: Solve for x
    x = 27,513,564.86/5,984.16
  6. Step 6: Final answer
    x = 4,597.73

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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.