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Finding the Fourth Proportional to 4,544.72, 6,817.80 and 1,466

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Solution

The fourth proportional to 4,544.72, 6,817.80 and 1,466 is: 2,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.72 : 6,817.80 = 1,466 : x
  2. Step 2: Convert to fraction form
    4,544.72/6,817.80 = 1,466/x
  3. Step 3: Cross multiply
    4,544.72x = 6,817.80 × 1,466
  4. Step 4: Simplify right side
    4,544.72x = 9,994,894.80
  5. Step 5: Solve for x
    x = 9,994,894.80/4,544.72
  6. Step 6: Final answer
    x = 2,199.23

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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.