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Finding the Fourth Proportional to 4,304.89, 5,941.16 and 2,416.47

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Solution

The fourth proportional to 4,304.89, 5,941.16 and 2,416.47 is: 3,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.89 : 5,941.16 = 2,416.47 : x
  2. Step 2: Convert to fraction form
    4,304.89/5,941.16 = 2,416.47/x
  3. Step 3: Cross multiply
    4,304.89x = 5,941.16 × 2,416.47
  4. Step 4: Simplify right side
    4,304.89x = 14,356,634.91
  5. Step 5: Solve for x
    x = 14,356,634.91/4,304.89
  6. Step 6: Final answer
    x = 3,334.96

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1.5x scale

Why These Related Problems?

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