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Finding the Fourth Proportional to 5,178.93, 7,146.81 and 2,940.77

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Solution

The fourth proportional to 5,178.93, 7,146.81 and 2,940.77 is: 4,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.93 : 7,146.81 = 2,940.77 : x
  2. Step 2: Convert to fraction form
    5,178.93/7,146.81 = 2,940.77/x
  3. Step 3: Cross multiply
    5,178.93x = 7,146.81 × 2,940.77
  4. Step 4: Simplify right side
    5,178.93x = 21,017,088.71
  5. Step 5: Solve for x
    x = 21,017,088.71/5,178.93
  6. Step 6: Final answer
    x = 4,058.19

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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.