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Finding the Fourth Proportional to 4,659.74, 6,430.73 and 2,670.24

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Solution

The fourth proportional to 4,659.74, 6,430.73 and 2,670.24 is: 3,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.74 : 6,430.73 = 2,670.24 : x
  2. Step 2: Convert to fraction form
    4,659.74/6,430.73 = 2,670.24/x
  3. Step 3: Cross multiply
    4,659.74x = 6,430.73 × 2,670.24
  4. Step 4: Simplify right side
    4,659.74x = 17,171,592.48
  5. Step 5: Solve for x
    x = 17,171,592.48/4,659.74
  6. Step 6: Final answer
    x = 3,685.10

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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.