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Finding the Fourth Proportional to 4,305.24, 5,941.10 and 2,416.82

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Solution

The fourth proportional to 4,305.24, 5,941.10 and 2,416.82 is: 3,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.24 : 5,941.10 = 2,416.82 : x
  2. Step 2: Convert to fraction form
    4,305.24/5,941.10 = 2,416.82/x
  3. Step 3: Cross multiply
    4,305.24x = 5,941.10 × 2,416.82
  4. Step 4: Simplify right side
    4,305.24x = 14,358,527.51
  5. Step 5: Solve for x
    x = 14,358,527.51/4,305.24
  6. Step 6: Final answer
    x = 3,335.13

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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.