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Finding the Fourth Proportional to 4,580, 6,319.68 and 2,589.92

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Solution

The fourth proportional to 4,580, 6,319.68 and 2,589.92 is: 3,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,319.68 = 2,589.92 : x
  2. Step 2: Convert to fraction form
    4,580/6,319.68 = 2,589.92/x
  3. Step 3: Cross multiply
    4,580x = 6,319.68 × 2,589.92
  4. Step 4: Simplify right side
    4,580x = 16,367,465.63
  5. Step 5: Solve for x
    x = 16,367,465.63/4,580
  6. Step 6: Final answer
    x = 3,573.68

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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.