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Finding the Fourth Proportional to 2,935.64, 4,041.07 and 2,562.02

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Solution

The fourth proportional to 2,935.64, 4,041.07 and 2,562.02 is: 3,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.64 : 4,041.07 = 2,562.02 : x
  2. Step 2: Convert to fraction form
    2,935.64/4,041.07 = 2,562.02/x
  3. Step 3: Cross multiply
    2,935.64x = 4,041.07 × 2,562.02
  4. Step 4: Simplify right side
    2,935.64x = 10,353,305.86
  5. Step 5: Solve for x
    x = 10,353,305.86/2,935.64
  6. Step 6: Final answer
    x = 3,526.77

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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.