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Finding the Fourth Proportional to 3,533.49, 5,300.10 and 2,498.04

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Solution

The fourth proportional to 3,533.49, 5,300.10 and 2,498.04 is: 3,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.49 : 5,300.10 = 2,498.04 : x
  2. Step 2: Convert to fraction form
    3,533.49/5,300.10 = 2,498.04/x
  3. Step 3: Cross multiply
    3,533.49x = 5,300.10 × 2,498.04
  4. Step 4: Simplify right side
    3,533.49x = 13,239,861.80
  5. Step 5: Solve for x
    x = 13,239,861.80/3,533.49
  6. Step 6: Final answer
    x = 3,746.96

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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.