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Finding the Fourth Proportional to 4,465.97, 6,697.28 and 3,586.31

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Solution

The fourth proportional to 4,465.97, 6,697.28 and 3,586.31 is: 5,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.97 : 6,697.28 = 3,586.31 : x
  2. Step 2: Convert to fraction form
    4,465.97/6,697.28 = 3,586.31/x
  3. Step 3: Cross multiply
    4,465.97x = 6,697.28 × 3,586.31
  4. Step 4: Simplify right side
    4,465.97x = 24,018,522.83
  5. Step 5: Solve for x
    x = 24,018,522.83/4,465.97
  6. Step 6: Final answer
    x = 5,378.12

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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.