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Finding the Fourth Proportional to 4,099.50, 5,655.99 and 2,420.98

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Solution

The fourth proportional to 4,099.50, 5,655.99 and 2,420.98 is: 3,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.50 : 5,655.99 = 2,420.98 : x
  2. Step 2: Convert to fraction form
    4,099.50/5,655.99 = 2,420.98/x
  3. Step 3: Cross multiply
    4,099.50x = 5,655.99 × 2,420.98
  4. Step 4: Simplify right side
    4,099.50x = 13,693,038.67
  5. Step 5: Solve for x
    x = 13,693,038.67/4,099.50
  6. Step 6: Final answer
    x = 3,340.17

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Why These Related Problems?

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