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Finding the Fourth Proportional to 5,807, 8,708.29 and 2,473.15

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Solution

The fourth proportional to 5,807, 8,708.29 and 2,473.15 is: 3,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807 : 8,708.29 = 2,473.15 : x
  2. Step 2: Convert to fraction form
    5,807/8,708.29 = 2,473.15/x
  3. Step 3: Cross multiply
    5,807x = 8,708.29 × 2,473.15
  4. Step 4: Simplify right side
    5,807x = 21,536,907.41
  5. Step 5: Solve for x
    x = 21,536,907.41/5,807
  6. Step 6: Final answer
    x = 3,708.78

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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.