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Finding the Fourth Proportional to 4,338.19, 6,509.31 and 2,583.15

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Solution

The fourth proportional to 4,338.19, 6,509.31 and 2,583.15 is: 3,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.19 : 6,509.31 = 2,583.15 : x
  2. Step 2: Convert to fraction form
    4,338.19/6,509.31 = 2,583.15/x
  3. Step 3: Cross multiply
    4,338.19x = 6,509.31 × 2,583.15
  4. Step 4: Simplify right side
    4,338.19x = 16,814,524.13
  5. Step 5: Solve for x
    x = 16,814,524.13/4,338.19
  6. Step 6: Final answer
    x = 3,875.93

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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.