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Finding the Fourth Proportional to 4,677.63, 7,010.37 and 1,901.07

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Solution

The fourth proportional to 4,677.63, 7,010.37 and 1,901.07 is: 2,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.63 : 7,010.37 = 1,901.07 : x
  2. Step 2: Convert to fraction form
    4,677.63/7,010.37 = 1,901.07/x
  3. Step 3: Cross multiply
    4,677.63x = 7,010.37 × 1,901.07
  4. Step 4: Simplify right side
    4,677.63x = 13,327,212.86
  5. Step 5: Solve for x
    x = 13,327,212.86/4,677.63
  6. Step 6: Final answer
    x = 2,849.14

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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.