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Finding the Fourth Proportional to 4,691.85, 7,039.19 and 1,405.05

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Solution

The fourth proportional to 4,691.85, 7,039.19 and 1,405.05 is: 2,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.85 : 7,039.19 = 1,405.05 : x
  2. Step 2: Convert to fraction form
    4,691.85/7,039.19 = 1,405.05/x
  3. Step 3: Cross multiply
    4,691.85x = 7,039.19 × 1,405.05
  4. Step 4: Simplify right side
    4,691.85x = 9,890,406.88
  5. Step 5: Solve for x
    x = 9,890,406.88/4,691.85
  6. Step 6: Final answer
    x = 2,108.00

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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.