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Finding the Fourth Proportional to 4,656.30, 6,975.54 and 4,499.97

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Solution

The fourth proportional to 4,656.30, 6,975.54 and 4,499.97 is: 6,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.30 : 6,975.54 = 4,499.97 : x
  2. Step 2: Convert to fraction form
    4,656.30/6,975.54 = 4,499.97/x
  3. Step 3: Cross multiply
    4,656.30x = 6,975.54 × 4,499.97
  4. Step 4: Simplify right side
    4,656.30x = 31,389,720.73
  5. Step 5: Solve for x
    x = 31,389,720.73/4,656.30
  6. Step 6: Final answer
    x = 6,741.34

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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.