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Finding the Fourth Proportional to 4,577.93, 6,866.78 and 1,458.17

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Solution

The fourth proportional to 4,577.93, 6,866.78 and 1,458.17 is: 2,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.93 : 6,866.78 = 1,458.17 : x
  2. Step 2: Convert to fraction form
    4,577.93/6,866.78 = 1,458.17/x
  3. Step 3: Cross multiply
    4,577.93x = 6,866.78 × 1,458.17
  4. Step 4: Simplify right side
    4,577.93x = 10,012,916.72
  5. Step 5: Solve for x
    x = 10,012,916.72/4,577.93
  6. Step 6: Final answer
    x = 2,187.21

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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.