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Finding the Fourth Proportional to 5,029.59, 7,507.62 and 4,659

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Solution

The fourth proportional to 5,029.59, 7,507.62 and 4,659 is: 6,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.59 : 7,507.62 = 4,659 : x
  2. Step 2: Convert to fraction form
    5,029.59/7,507.62 = 4,659/x
  3. Step 3: Cross multiply
    5,029.59x = 7,507.62 × 4,659
  4. Step 4: Simplify right side
    5,029.59x = 34,978,001.58
  5. Step 5: Solve for x
    x = 34,978,001.58/5,029.59
  6. Step 6: Final answer
    x = 6,954.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.