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Finding the Fourth Proportional to 5,215.42, 7,803.50 and 3,658.46

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Solution

The fourth proportional to 5,215.42, 7,803.50 and 3,658.46 is: 5,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.42 : 7,803.50 = 3,658.46 : x
  2. Step 2: Convert to fraction form
    5,215.42/7,803.50 = 3,658.46/x
  3. Step 3: Cross multiply
    5,215.42x = 7,803.50 × 3,658.46
  4. Step 4: Simplify right side
    5,215.42x = 28,548,792.61
  5. Step 5: Solve for x
    x = 28,548,792.61/5,215.42
  6. Step 6: Final answer
    x = 5,473.92

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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.