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Finding the Fourth Proportional to 4,797.60, 6,579.36 and 4,598

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Solution

The fourth proportional to 4,797.60, 6,579.36 and 4,598 is: 6,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.60 : 6,579.36 = 4,598 : x
  2. Step 2: Convert to fraction form
    4,797.60/6,579.36 = 4,598/x
  3. Step 3: Cross multiply
    4,797.60x = 6,579.36 × 4,598
  4. Step 4: Simplify right side
    4,797.60x = 30,251,897.28
  5. Step 5: Solve for x
    x = 30,251,897.28/4,797.60
  6. Step 6: Final answer
    x = 6,305.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.