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Finding the Fourth Proportional to 4,659.78, 6,430.76 and 2,670.66

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Solution

The fourth proportional to 4,659.78, 6,430.76 and 2,670.66 is: 3,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.78 : 6,430.76 = 2,670.66 : x
  2. Step 2: Convert to fraction form
    4,659.78/6,430.76 = 2,670.66/x
  3. Step 3: Cross multiply
    4,659.78x = 6,430.76 × 2,670.66
  4. Step 4: Simplify right side
    4,659.78x = 17,174,360.15
  5. Step 5: Solve for x
    x = 17,174,360.15/4,659.78
  6. Step 6: Final answer
    x = 3,685.66

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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.