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Finding the Fourth Proportional to 5,385.79, 7,434.74 and 3,146.81

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Solution

The fourth proportional to 5,385.79, 7,434.74 and 3,146.81 is: 4,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.79 : 7,434.74 = 3,146.81 : x
  2. Step 2: Convert to fraction form
    5,385.79/7,434.74 = 3,146.81/x
  3. Step 3: Cross multiply
    5,385.79x = 7,434.74 × 3,146.81
  4. Step 4: Simplify right side
    5,385.79x = 23,395,714.18
  5. Step 5: Solve for x
    x = 23,395,714.18/5,385.79
  6. Step 6: Final answer
    x = 4,343.97

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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.