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Finding the Fourth Proportional to 5,751.02, 7,935.08 and 4,160.00

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Solution

The fourth proportional to 5,751.02, 7,935.08 and 4,160.00 is: 5,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.02 : 7,935.08 = 4,160.00 : x
  2. Step 2: Convert to fraction form
    5,751.02/7,935.08 = 4,160.00/x
  3. Step 3: Cross multiply
    5,751.02x = 7,935.08 × 4,160.00
  4. Step 4: Simplify right side
    5,751.02x = 33,009,872.32
  5. Step 5: Solve for x
    x = 33,009,872.32/5,751.02
  6. Step 6: Final answer
    x = 5,739.83

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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.