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Finding the Fourth Proportional to 5,020.68, 7,525.05 and 3,784.01

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Solution

The fourth proportional to 5,020.68, 7,525.05 and 3,784.01 is: 5,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.68 : 7,525.05 = 3,784.01 : x
  2. Step 2: Convert to fraction form
    5,020.68/7,525.05 = 3,784.01/x
  3. Step 3: Cross multiply
    5,020.68x = 7,525.05 × 3,784.01
  4. Step 4: Simplify right side
    5,020.68x = 28,474,869.07
  5. Step 5: Solve for x
    x = 28,474,869.07/5,020.68
  6. Step 6: Final answer
    x = 5,671.52

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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.