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Finding the Fourth Proportional to 5,178.48, 7,146.74 and 2,941.04

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Solution

The fourth proportional to 5,178.48, 7,146.74 and 2,941.04 is: 4,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.48 : 7,146.74 = 2,941.04 : x
  2. Step 2: Convert to fraction form
    5,178.48/7,146.74 = 2,941.04/x
  3. Step 3: Cross multiply
    5,178.48x = 7,146.74 × 2,941.04
  4. Step 4: Simplify right side
    5,178.48x = 21,018,848.21
  5. Step 5: Solve for x
    x = 21,018,848.21/5,178.48
  6. Step 6: Final answer
    x = 4,058.88

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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.