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Finding the Fourth Proportional to 5,184.78, 7,154.72 and 2,946.36

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Solution

The fourth proportional to 5,184.78, 7,154.72 and 2,946.36 is: 4,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.78 : 7,154.72 = 2,946.36 : x
  2. Step 2: Convert to fraction form
    5,184.78/7,154.72 = 2,946.36/x
  3. Step 3: Cross multiply
    5,184.78x = 7,154.72 × 2,946.36
  4. Step 4: Simplify right side
    5,184.78x = 21,080,380.82
  5. Step 5: Solve for x
    x = 21,080,380.82/5,184.78
  6. Step 6: Final answer
    x = 4,065.82

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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.