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Finding the Fourth Proportional to 4,499, 6,208.80 and 2,509.56

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Solution

The fourth proportional to 4,499, 6,208.80 and 2,509.56 is: 3,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499 : 6,208.80 = 2,509.56 : x
  2. Step 2: Convert to fraction form
    4,499/6,208.80 = 2,509.56/x
  3. Step 3: Cross multiply
    4,499x = 6,208.80 × 2,509.56
  4. Step 4: Simplify right side
    4,499x = 15,581,356.13
  5. Step 5: Solve for x
    x = 15,581,356.13/4,499
  6. Step 6: Final answer
    x = 3,463.29

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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.