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Finding the Fourth Proportional to 4,465.40, 6,695.38 and 1,999.76

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Solution

The fourth proportional to 4,465.40, 6,695.38 and 1,999.76 is: 2,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.40 : 6,695.38 = 1,999.76 : x
  2. Step 2: Convert to fraction form
    4,465.40/6,695.38 = 1,999.76/x
  3. Step 3: Cross multiply
    4,465.40x = 6,695.38 × 1,999.76
  4. Step 4: Simplify right side
    4,465.40x = 13,389,153.11
  5. Step 5: Solve for x
    x = 13,389,153.11/4,465.40
  6. Step 6: Final answer
    x = 2,998.42

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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.