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Finding the Fourth Proportional to 4,656.18, 6,983.55 and 4,399.14

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Solution

The fourth proportional to 4,656.18, 6,983.55 and 4,399.14 is: 6,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.18 : 6,983.55 = 4,399.14 : x
  2. Step 2: Convert to fraction form
    4,656.18/6,983.55 = 4,399.14/x
  3. Step 3: Cross multiply
    4,656.18x = 6,983.55 × 4,399.14
  4. Step 4: Simplify right side
    4,656.18x = 30,721,614.15
  5. Step 5: Solve for x
    x = 30,721,614.15/4,656.18
  6. Step 6: Final answer
    x = 6,598.03

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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.