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Finding the Fourth Proportional to 5,008.04, 7,507 and 2,409.56

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Solution

The fourth proportional to 5,008.04, 7,507 and 2,409.56 is: 3,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,008.04 : 7,507 = 2,409.56 : x
  2. Step 2: Convert to fraction form
    5,008.04/7,507 = 2,409.56/x
  3. Step 3: Cross multiply
    5,008.04x = 7,507 × 2,409.56
  4. Step 4: Simplify right side
    5,008.04x = 18,088,566.92
  5. Step 5: Solve for x
    x = 18,088,566.92/5,008.04
  6. Step 6: Final answer
    x = 3,611.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.