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Finding the Fourth Proportional to 4,333.62, 6,499.19 and 1,412.18

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Solution

The fourth proportional to 4,333.62, 6,499.19 and 1,412.18 is: 2,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.62 : 6,499.19 = 1,412.18 : x
  2. Step 2: Convert to fraction form
    4,333.62/6,499.19 = 1,412.18/x
  3. Step 3: Cross multiply
    4,333.62x = 6,499.19 × 1,412.18
  4. Step 4: Simplify right side
    4,333.62x = 9,178,026.13
  5. Step 5: Solve for x
    x = 9,178,026.13/4,333.62
  6. Step 6: Final answer
    x = 2,117.87

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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.