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Finding the Fourth Proportional to 7,235.52, 9,985.02 and 4,091.64

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Solution

The fourth proportional to 7,235.52, 9,985.02 and 4,091.64 is: 5,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.52 : 9,985.02 = 4,091.64 : x
  2. Step 2: Convert to fraction form
    7,235.52/9,985.02 = 4,091.64/x
  3. Step 3: Cross multiply
    7,235.52x = 9,985.02 × 4,091.64
  4. Step 4: Simplify right side
    7,235.52x = 40,855,107.23
  5. Step 5: Solve for x
    x = 40,855,107.23/7,235.52
  6. Step 6: Final answer
    x = 5,646.46

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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.