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Finding the Fourth Proportional to 5,864.77, 8,798.96 and 1,968.85

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Solution

The fourth proportional to 5,864.77, 8,798.96 and 1,968.85 is: 2,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.77 : 8,798.96 = 1,968.85 : x
  2. Step 2: Convert to fraction form
    5,864.77/8,798.96 = 1,968.85/x
  3. Step 3: Cross multiply
    5,864.77x = 8,798.96 × 1,968.85
  4. Step 4: Simplify right side
    5,864.77x = 17,323,832.40
  5. Step 5: Solve for x
    x = 17,323,832.40/5,864.77
  6. Step 6: Final answer
    x = 2,953.88

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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.