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Finding the Fourth Proportional to 4,677.71, 7,010.48 and 1,901.14

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Solution

The fourth proportional to 4,677.71, 7,010.48 and 1,901.14 is: 2,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.71 : 7,010.48 = 1,901.14 : x
  2. Step 2: Convert to fraction form
    4,677.71/7,010.48 = 1,901.14/x
  3. Step 3: Cross multiply
    4,677.71x = 7,010.48 × 1,901.14
  4. Step 4: Simplify right side
    4,677.71x = 13,327,903.20
  5. Step 5: Solve for x
    x = 13,327,903.20/4,677.71
  6. Step 6: Final answer
    x = 2,849.24

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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.