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Finding the Fourth Proportional to 3,970.46, 5,477.81 and 2,477.16

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Solution

The fourth proportional to 3,970.46, 5,477.81 and 2,477.16 is: 3,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.46 : 5,477.81 = 2,477.16 : x
  2. Step 2: Convert to fraction form
    3,970.46/5,477.81 = 2,477.16/x
  3. Step 3: Cross multiply
    3,970.46x = 5,477.81 × 2,477.16
  4. Step 4: Simplify right side
    3,970.46x = 13,569,399.43
  5. Step 5: Solve for x
    x = 13,569,399.43/3,970.46
  6. Step 6: Final answer
    x = 3,417.59

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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.