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Finding the Fourth Proportional to 4,642.62, 6,407.26 and 2,652.79

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Solution

The fourth proportional to 4,642.62, 6,407.26 and 2,652.79 is: 3,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.62 : 6,407.26 = 2,652.79 : x
  2. Step 2: Convert to fraction form
    4,642.62/6,407.26 = 2,652.79/x
  3. Step 3: Cross multiply
    4,642.62x = 6,407.26 × 2,652.79
  4. Step 4: Simplify right side
    4,642.62x = 16,997,111.66
  5. Step 5: Solve for x
    x = 16,997,111.66/4,642.62
  6. Step 6: Final answer
    x = 3,661.10

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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.