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Finding the Fourth Proportional to 4,578.02, 6,866.13 and 1,290.26

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Solution

The fourth proportional to 4,578.02, 6,866.13 and 1,290.26 is: 1,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.02 : 6,866.13 = 1,290.26 : x
  2. Step 2: Convert to fraction form
    4,578.02/6,866.13 = 1,290.26/x
  3. Step 3: Cross multiply
    4,578.02x = 6,866.13 × 1,290.26
  4. Step 4: Simplify right side
    4,578.02x = 8,859,092.89
  5. Step 5: Solve for x
    x = 8,859,092.89/4,578.02
  6. Step 6: Final answer
    x = 1,935.14

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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.