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Finding the Fourth Proportional to 5,294.18, 7,304.31 and 3,055.77

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Solution

The fourth proportional to 5,294.18, 7,304.31 and 3,055.77 is: 4,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.18 : 7,304.31 = 3,055.77 : x
  2. Step 2: Convert to fraction form
    5,294.18/7,304.31 = 3,055.77/x
  3. Step 3: Cross multiply
    5,294.18x = 7,304.31 × 3,055.77
  4. Step 4: Simplify right side
    5,294.18x = 22,320,291.37
  5. Step 5: Solve for x
    x = 22,320,291.37/5,294.18
  6. Step 6: Final answer
    x = 4,216.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.