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Finding the Fourth Proportional to 6,188.77, 9,285.88 and 2,498.20

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Solution

The fourth proportional to 6,188.77, 9,285.88 and 2,498.20 is: 3,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.77 : 9,285.88 = 2,498.20 : x
  2. Step 2: Convert to fraction form
    6,188.77/9,285.88 = 2,498.20/x
  3. Step 3: Cross multiply
    6,188.77x = 9,285.88 × 2,498.20
  4. Step 4: Simplify right side
    6,188.77x = 23,197,985.42
  5. Step 5: Solve for x
    x = 23,197,985.42/6,188.77
  6. Step 6: Final answer
    x = 3,748.40

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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.