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Finding the Fourth Proportional to 4,499.34, 6,208.38 and 2,509.80

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Solution

The fourth proportional to 4,499.34, 6,208.38 and 2,509.80 is: 3,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.34 : 6,208.38 = 2,509.80 : x
  2. Step 2: Convert to fraction form
    4,499.34/6,208.38 = 2,509.80/x
  3. Step 3: Cross multiply
    4,499.34x = 6,208.38 × 2,509.80
  4. Step 4: Simplify right side
    4,499.34x = 15,581,792.12
  5. Step 5: Solve for x
    x = 15,581,792.12/4,499.34
  6. Step 6: Final answer
    x = 3,463.13

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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.