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Finding the Fourth Proportional to 4,396.46, 6,585.84 and 2,053.22

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Solution

The fourth proportional to 4,396.46, 6,585.84 and 2,053.22 is: 3,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.46 : 6,585.84 = 2,053.22 : x
  2. Step 2: Convert to fraction form
    4,396.46/6,585.84 = 2,053.22/x
  3. Step 3: Cross multiply
    4,396.46x = 6,585.84 × 2,053.22
  4. Step 4: Simplify right side
    4,396.46x = 13,522,145.48
  5. Step 5: Solve for x
    x = 13,522,145.48/4,396.46
  6. Step 6: Final answer
    x = 3,075.69

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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.