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Finding the Fourth Proportional to 4,333.53, 6,514.80 and 3,420.11

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Solution

The fourth proportional to 4,333.53, 6,514.80 and 3,420.11 is: 5,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.53 : 6,514.80 = 3,420.11 : x
  2. Step 2: Convert to fraction form
    4,333.53/6,514.80 = 3,420.11/x
  3. Step 3: Cross multiply
    4,333.53x = 6,514.80 × 3,420.11
  4. Step 4: Simplify right side
    4,333.53x = 22,281,300.05
  5. Step 5: Solve for x
    x = 22,281,300.05/4,333.53
  6. Step 6: Final answer
    x = 5,141.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.