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Finding the Fourth Proportional to 3,140.42, 4,714.02 and 2,362.64

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Solution

The fourth proportional to 3,140.42, 4,714.02 and 2,362.64 is: 3,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.42 : 4,714.02 = 2,362.64 : x
  2. Step 2: Convert to fraction form
    3,140.42/4,714.02 = 2,362.64/x
  3. Step 3: Cross multiply
    3,140.42x = 4,714.02 × 2,362.64
  4. Step 4: Simplify right side
    3,140.42x = 11,137,532.21
  5. Step 5: Solve for x
    x = 11,137,532.21/3,140.42
  6. Step 6: Final answer
    x = 3,546.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.