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Finding the Fourth Proportional to 4,626.29, 6,895.46 and 4,363.57

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Solution

The fourth proportional to 4,626.29, 6,895.46 and 4,363.57 is: 6,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.29 : 6,895.46 = 4,363.57 : x
  2. Step 2: Convert to fraction form
    4,626.29/6,895.46 = 4,363.57/x
  3. Step 3: Cross multiply
    4,626.29x = 6,895.46 × 4,363.57
  4. Step 4: Simplify right side
    4,626.29x = 30,088,783.34
  5. Step 5: Solve for x
    x = 30,088,783.34/4,626.29
  6. Step 6: Final answer
    x = 6,503.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.