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Finding the Fourth Proportional to 5,864.32, 8,795.04 and 1,968.64

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Solution

The fourth proportional to 5,864.32, 8,795.04 and 1,968.64 is: 2,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.32 : 8,795.04 = 1,968.64 : x
  2. Step 2: Convert to fraction form
    5,864.32/8,795.04 = 1,968.64/x
  3. Step 3: Cross multiply
    5,864.32x = 8,795.04 × 1,968.64
  4. Step 4: Simplify right side
    5,864.32x = 17,314,267.55
  5. Step 5: Solve for x
    x = 17,314,267.55/5,864.32
  6. Step 6: Final answer
    x = 2,952.48

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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.