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Finding the Fourth Proportional to 5,237.66, 7,857.84 and 1,540.01

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Solution

The fourth proportional to 5,237.66, 7,857.84 and 1,540.01 is: 2,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.66 : 7,857.84 = 1,540.01 : x
  2. Step 2: Convert to fraction form
    5,237.66/7,857.84 = 1,540.01/x
  3. Step 3: Cross multiply
    5,237.66x = 7,857.84 × 1,540.01
  4. Step 4: Simplify right side
    5,237.66x = 12,101,152.18
  5. Step 5: Solve for x
    x = 12,101,152.18/5,237.66
  6. Step 6: Final answer
    x = 2,310.41

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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.