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Finding the Fourth Proportional to 3,957.64, 5,907.23 and 3,490.71

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Solution

The fourth proportional to 3,957.64, 5,907.23 and 3,490.71 is: 5,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.64 : 5,907.23 = 3,490.71 : x
  2. Step 2: Convert to fraction form
    3,957.64/5,907.23 = 3,490.71/x
  3. Step 3: Cross multiply
    3,957.64x = 5,907.23 × 3,490.71
  4. Step 4: Simplify right side
    3,957.64x = 20,620,426.83
  5. Step 5: Solve for x
    x = 20,620,426.83/3,957.64
  6. Step 6: Final answer
    x = 5,210.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.