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Finding the Fourth Proportional to 4,305.30, 5,941.02 and 2,416.56

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Solution

The fourth proportional to 4,305.30, 5,941.02 and 2,416.56 is: 3,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.30 : 5,941.02 = 2,416.56 : x
  2. Step 2: Convert to fraction form
    4,305.30/5,941.02 = 2,416.56/x
  3. Step 3: Cross multiply
    4,305.30x = 5,941.02 × 2,416.56
  4. Step 4: Simplify right side
    4,305.30x = 14,356,831.29
  5. Step 5: Solve for x
    x = 14,356,831.29/4,305.30
  6. Step 6: Final answer
    x = 3,334.69

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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.