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Finding the Fourth Proportional to 5,498.48, 7,591.48 and 4,492.64

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Solution

The fourth proportional to 5,498.48, 7,591.48 and 4,492.64 is: 6,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.48 : 7,591.48 = 4,492.64 : x
  2. Step 2: Convert to fraction form
    5,498.48/7,591.48 = 4,492.64/x
  3. Step 3: Cross multiply
    5,498.48x = 7,591.48 × 4,492.64
  4. Step 4: Simplify right side
    5,498.48x = 34,105,786.71
  5. Step 5: Solve for x
    x = 34,105,786.71/5,498.48
  6. Step 6: Final answer
    x = 6,202.77

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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.