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Finding the Fourth Proportional to 5,206.62, 7,808.01 and 1,508.07

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Solution

The fourth proportional to 5,206.62, 7,808.01 and 1,508.07 is: 2,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.62 : 7,808.01 = 1,508.07 : x
  2. Step 2: Convert to fraction form
    5,206.62/7,808.01 = 1,508.07/x
  3. Step 3: Cross multiply
    5,206.62x = 7,808.01 × 1,508.07
  4. Step 4: Simplify right side
    5,206.62x = 11,775,025.64
  5. Step 5: Solve for x
    x = 11,775,025.64/5,206.62
  6. Step 6: Final answer
    x = 2,261.55

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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.