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Finding the Fourth Proportional to 3,092.04, 4,637.94 and 783.52

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Solution

The fourth proportional to 3,092.04, 4,637.94 and 783.52 is: 1,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.04 : 4,637.94 = 783.52 : x
  2. Step 2: Convert to fraction form
    3,092.04/4,637.94 = 783.52/x
  3. Step 3: Cross multiply
    3,092.04x = 4,637.94 × 783.52
  4. Step 4: Simplify right side
    3,092.04x = 3,633,918.75
  5. Step 5: Solve for x
    x = 3,633,918.75/3,092.04
  6. Step 6: Final answer
    x = 1,175.25

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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.