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Finding the Fourth Proportional to 5,844, 8,064.72 and 3,360

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Solution

The fourth proportional to 5,844, 8,064.72 and 3,360 is: 4,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844 : 8,064.72 = 3,360 : x
  2. Step 2: Convert to fraction form
    5,844/8,064.72 = 3,360/x
  3. Step 3: Cross multiply
    5,844x = 8,064.72 × 3,360
  4. Step 4: Simplify right side
    5,844x = 27,097,459.20
  5. Step 5: Solve for x
    x = 27,097,459.20/5,844
  6. Step 6: Final answer
    x = 4,636.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.