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Finding the Fourth Proportional to 4,697.85, 7,032.98 and 2,471.41

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Solution

The fourth proportional to 4,697.85, 7,032.98 and 2,471.41 is: 3,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.85 : 7,032.98 = 2,471.41 : x
  2. Step 2: Convert to fraction form
    4,697.85/7,032.98 = 2,471.41/x
  3. Step 3: Cross multiply
    4,697.85x = 7,032.98 × 2,471.41
  4. Step 4: Simplify right side
    4,697.85x = 17,381,378.17
  5. Step 5: Solve for x
    x = 17,381,378.17/4,697.85
  6. Step 6: Final answer
    x = 3,699.86

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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.