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Finding the Fourth Proportional to 5,758.64, 8,642.10 and 3,905.16

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Solution

The fourth proportional to 5,758.64, 8,642.10 and 3,905.16 is: 5,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.64 : 8,642.10 = 3,905.16 : x
  2. Step 2: Convert to fraction form
    5,758.64/8,642.10 = 3,905.16/x
  3. Step 3: Cross multiply
    5,758.64x = 8,642.10 × 3,905.16
  4. Step 4: Simplify right side
    5,758.64x = 33,748,783.24
  5. Step 5: Solve for x
    x = 33,748,783.24/5,758.64
  6. Step 6: Final answer
    x = 5,860.55

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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.