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Finding the Fourth Proportional to 3,417.64, 5,126.46 and 1,957.72

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Solution

The fourth proportional to 3,417.64, 5,126.46 and 1,957.72 is: 2,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.64 : 5,126.46 = 1,957.72 : x
  2. Step 2: Convert to fraction form
    3,417.64/5,126.46 = 1,957.72/x
  3. Step 3: Cross multiply
    3,417.64x = 5,126.46 × 1,957.72
  4. Step 4: Simplify right side
    3,417.64x = 10,036,173.27
  5. Step 5: Solve for x
    x = 10,036,173.27/3,417.64
  6. Step 6: Final answer
    x = 2,936.58

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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.