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Finding the Fourth Proportional to 6,397.94, 8,829.02 and 3,565.31

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Solution

The fourth proportional to 6,397.94, 8,829.02 and 3,565.31 is: 4,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.94 : 8,829.02 = 3,565.31 : x
  2. Step 2: Convert to fraction form
    6,397.94/8,829.02 = 3,565.31/x
  3. Step 3: Cross multiply
    6,397.94x = 8,829.02 × 3,565.31
  4. Step 4: Simplify right side
    6,397.94x = 31,478,131.32
  5. Step 5: Solve for x
    x = 31,478,131.32/6,397.94
  6. Step 6: Final answer
    x = 4,920.05

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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.