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Finding the Fourth Proportional to 6,298.96, 8,698.80 and 5,190.88

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Solution

The fourth proportional to 6,298.96, 8,698.80 and 5,190.88 is: 7,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.96 : 8,698.80 = 5,190.88 : x
  2. Step 2: Convert to fraction form
    6,298.96/8,698.80 = 5,190.88/x
  3. Step 3: Cross multiply
    6,298.96x = 8,698.80 × 5,190.88
  4. Step 4: Simplify right side
    6,298.96x = 45,154,426.94
  5. Step 5: Solve for x
    x = 45,154,426.94/6,298.96
  6. Step 6: Final answer
    x = 7,168.55

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