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Finding the Fourth Proportional to 5,330.41, 7,350.96 and 4,214.01

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Solution

The fourth proportional to 5,330.41, 7,350.96 and 4,214.01 is: 5,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.41 : 7,350.96 = 4,214.01 : x
  2. Step 2: Convert to fraction form
    5,330.41/7,350.96 = 4,214.01/x
  3. Step 3: Cross multiply
    5,330.41x = 7,350.96 × 4,214.01
  4. Step 4: Simplify right side
    5,330.41x = 30,977,018.95
  5. Step 5: Solve for x
    x = 30,977,018.95/5,330.41
  6. Step 6: Final answer
    x = 5,811.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.