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Finding the Fourth Proportional to 4,594.61, 6,336.96 and 4,064.06

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Solution

The fourth proportional to 4,594.61, 6,336.96 and 4,064.06 is: 5,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.61 : 6,336.96 = 4,064.06 : x
  2. Step 2: Convert to fraction form
    4,594.61/6,336.96 = 4,064.06/x
  3. Step 3: Cross multiply
    4,594.61x = 6,336.96 × 4,064.06
  4. Step 4: Simplify right side
    4,594.61x = 25,753,785.66
  5. Step 5: Solve for x
    x = 25,753,785.66/4,594.61
  6. Step 6: Final answer
    x = 5,605.22

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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.