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Finding the Fourth Proportional to 5,498.64, 7,589.36 and 4,612.91

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Solution

The fourth proportional to 5,498.64, 7,589.36 and 4,612.91 is: 6,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.64 : 7,589.36 = 4,612.91 : x
  2. Step 2: Convert to fraction form
    5,498.64/7,589.36 = 4,612.91/x
  3. Step 3: Cross multiply
    5,498.64x = 7,589.36 × 4,612.91
  4. Step 4: Simplify right side
    5,498.64x = 35,009,008.22
  5. Step 5: Solve for x
    x = 35,009,008.22/5,498.64
  6. Step 6: Final answer
    x = 6,366.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.