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Finding the Fourth Proportional to 3,335, 5,013.30 and 3,094.52

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Solution

The fourth proportional to 3,335, 5,013.30 and 3,094.52 is: 4,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335 : 5,013.30 = 3,094.52 : x
  2. Step 2: Convert to fraction form
    3,335/5,013.30 = 3,094.52/x
  3. Step 3: Cross multiply
    3,335x = 5,013.30 × 3,094.52
  4. Step 4: Simplify right side
    3,335x = 15,513,757.12
  5. Step 5: Solve for x
    x = 15,513,757.12/3,335
  6. Step 6: Final answer
    x = 4,651.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.