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Finding the Fourth Proportional to 3,657.99, 5,048.49 and 2,400.10

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Solution

The fourth proportional to 3,657.99, 5,048.49 and 2,400.10 is: 3,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.99 : 5,048.49 = 2,400.10 : x
  2. Step 2: Convert to fraction form
    3,657.99/5,048.49 = 2,400.10/x
  3. Step 3: Cross multiply
    3,657.99x = 5,048.49 × 2,400.10
  4. Step 4: Simplify right side
    3,657.99x = 12,116,880.85
  5. Step 5: Solve for x
    x = 12,116,880.85/3,657.99
  6. Step 6: Final answer
    x = 3,312.44

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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.