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Finding the Fourth Proportional to 4,663.95, 6,998.37 and 3,020.07

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Solution

The fourth proportional to 4,663.95, 6,998.37 and 3,020.07 is: 4,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.95 : 6,998.37 = 3,020.07 : x
  2. Step 2: Convert to fraction form
    4,663.95/6,998.37 = 3,020.07/x
  3. Step 3: Cross multiply
    4,663.95x = 6,998.37 × 3,020.07
  4. Step 4: Simplify right side
    4,663.95x = 21,135,567.29
  5. Step 5: Solve for x
    x = 21,135,567.29/4,663.95
  6. Step 6: Final answer
    x = 4,531.69

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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.