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Finding the Fourth Proportional to 4,941.80, 7,376.62 and 4,319

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Solution

The fourth proportional to 4,941.80, 7,376.62 and 4,319 is: 6,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.80 : 7,376.62 = 4,319 : x
  2. Step 2: Convert to fraction form
    4,941.80/7,376.62 = 4,319/x
  3. Step 3: Cross multiply
    4,941.80x = 7,376.62 × 4,319
  4. Step 4: Simplify right side
    4,941.80x = 31,859,621.78
  5. Step 5: Solve for x
    x = 31,859,621.78/4,941.80
  6. Step 6: Final answer
    x = 6,446.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.