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Finding the Fourth Proportional to 4,494.57, 6,204.70 and 3,484.00

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Solution

The fourth proportional to 4,494.57, 6,204.70 and 3,484.00 is: 4,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.57 : 6,204.70 = 3,484.00 : x
  2. Step 2: Convert to fraction form
    4,494.57/6,204.70 = 3,484.00/x
  3. Step 3: Cross multiply
    4,494.57x = 6,204.70 × 3,484.00
  4. Step 4: Simplify right side
    4,494.57x = 21,617,152.01
  5. Step 5: Solve for x
    x = 21,617,152.01/4,494.57
  6. Step 6: Final answer
    x = 4,809.61

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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.