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Finding the Fourth Proportional to 4,546.98, 6,276.12 and 2,659

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Solution

The fourth proportional to 4,546.98, 6,276.12 and 2,659 is: 3,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.98 : 6,276.12 = 2,659 : x
  2. Step 2: Convert to fraction form
    4,546.98/6,276.12 = 2,659/x
  3. Step 3: Cross multiply
    4,546.98x = 6,276.12 × 2,659
  4. Step 4: Simplify right side
    4,546.98x = 16,688,203.08
  5. Step 5: Solve for x
    x = 16,688,203.08/4,546.98
  6. Step 6: Final answer
    x = 3,670.17

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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.