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Finding the Fourth Proportional to 6,199.07, 9,298.55 and 2,498.68

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Solution

The fourth proportional to 6,199.07, 9,298.55 and 2,498.68 is: 3,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.07 : 9,298.55 = 2,498.68 : x
  2. Step 2: Convert to fraction form
    6,199.07/9,298.55 = 2,498.68/x
  3. Step 3: Cross multiply
    6,199.07x = 9,298.55 × 2,498.68
  4. Step 4: Simplify right side
    6,199.07x = 23,234,066.48
  5. Step 5: Solve for x
    x = 23,234,066.48/6,199.07
  6. Step 6: Final answer
    x = 3,748.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.