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Finding the Fourth Proportional to 4,569.95, 6,855.28 and 1,450.14

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Solution

The fourth proportional to 4,569.95, 6,855.28 and 1,450.14 is: 2,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.95 : 6,855.28 = 1,450.14 : x
  2. Step 2: Convert to fraction form
    4,569.95/6,855.28 = 1,450.14/x
  3. Step 3: Cross multiply
    4,569.95x = 6,855.28 × 1,450.14
  4. Step 4: Simplify right side
    4,569.95x = 9,941,115.74
  5. Step 5: Solve for x
    x = 9,941,115.74/4,569.95
  6. Step 6: Final answer
    x = 2,175.32

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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.