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Finding the Fourth Proportional to 4,699.29, 7,049.61 and 1,412.64

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Solution

The fourth proportional to 4,699.29, 7,049.61 and 1,412.64 is: 2,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.29 : 7,049.61 = 1,412.64 : x
  2. Step 2: Convert to fraction form
    4,699.29/7,049.61 = 1,412.64/x
  3. Step 3: Cross multiply
    4,699.29x = 7,049.61 × 1,412.64
  4. Step 4: Simplify right side
    4,699.29x = 9,958,561.07
  5. Step 5: Solve for x
    x = 9,958,561.07/4,699.29
  6. Step 6: Final answer
    x = 2,119.16

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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.