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Finding the Fourth Proportional to 3,957.66, 5,464.06 and 2,541.98

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Solution

The fourth proportional to 3,957.66, 5,464.06 and 2,541.98 is: 3,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.66 : 5,464.06 = 2,541.98 : x
  2. Step 2: Convert to fraction form
    3,957.66/5,464.06 = 2,541.98/x
  3. Step 3: Cross multiply
    3,957.66x = 5,464.06 × 2,541.98
  4. Step 4: Simplify right side
    3,957.66x = 13,889,538.54
  5. Step 5: Solve for x
    x = 13,889,538.54/3,957.66
  6. Step 6: Final answer
    x = 3,509.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.