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Finding the Fourth Proportional to 4,642.29, 6,407.10 and 3,466.71

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Solution

The fourth proportional to 4,642.29, 6,407.10 and 3,466.71 is: 4,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.29 : 6,407.10 = 3,466.71 : x
  2. Step 2: Convert to fraction form
    4,642.29/6,407.10 = 3,466.71/x
  3. Step 3: Cross multiply
    4,642.29x = 6,407.10 × 3,466.71
  4. Step 4: Simplify right side
    4,642.29x = 22,211,557.64
  5. Step 5: Solve for x
    x = 22,211,557.64/4,642.29
  6. Step 6: Final answer
    x = 4,784.61

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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.