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Finding the Fourth Proportional to 4,134.84, 5,700.38 and 4,005.60

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Solution

The fourth proportional to 4,134.84, 5,700.38 and 4,005.60 is: 5,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.84 : 5,700.38 = 4,005.60 : x
  2. Step 2: Convert to fraction form
    4,134.84/5,700.38 = 4,005.60/x
  3. Step 3: Cross multiply
    4,134.84x = 5,700.38 × 4,005.60
  4. Step 4: Simplify right side
    4,134.84x = 22,833,442.13
  5. Step 5: Solve for x
    x = 22,833,442.13/4,134.84
  6. Step 6: Final answer
    x = 5,522.21

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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.