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Finding the Fourth Proportional to 6,398.29, 8,829.91 and 3,565.67

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Solution

The fourth proportional to 6,398.29, 8,829.91 and 3,565.67 is: 4,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.29 : 8,829.91 = 3,565.67 : x
  2. Step 2: Convert to fraction form
    6,398.29/8,829.91 = 3,565.67/x
  3. Step 3: Cross multiply
    6,398.29x = 8,829.91 × 3,565.67
  4. Step 4: Simplify right side
    6,398.29x = 31,484,501.04
  5. Step 5: Solve for x
    x = 31,484,501.04/6,398.29
  6. Step 6: Final answer
    x = 4,920.77

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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.