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Finding the Fourth Proportional to 5,237.84, 7,857.66 and 3,597.50

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Solution

The fourth proportional to 5,237.84, 7,857.66 and 3,597.50 is: 5,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.84 : 7,857.66 = 3,597.50 : x
  2. Step 2: Convert to fraction form
    5,237.84/7,857.66 = 3,597.50/x
  3. Step 3: Cross multiply
    5,237.84x = 7,857.66 × 3,597.50
  4. Step 4: Simplify right side
    5,237.84x = 28,267,931.85
  5. Step 5: Solve for x
    x = 28,267,931.85/5,237.84
  6. Step 6: Final answer
    x = 5,396.87

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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.