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Finding the Fourth Proportional to 4,670.40, 6,444.84 and 2,680.68

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Solution

The fourth proportional to 4,670.40, 6,444.84 and 2,680.68 is: 3,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.40 : 6,444.84 = 2,680.68 : x
  2. Step 2: Convert to fraction form
    4,670.40/6,444.84 = 2,680.68/x
  3. Step 3: Cross multiply
    4,670.40x = 6,444.84 × 2,680.68
  4. Step 4: Simplify right side
    4,670.40x = 17,276,553.69
  5. Step 5: Solve for x
    x = 17,276,553.69/4,670.40
  6. Step 6: Final answer
    x = 3,699.16

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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.