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Finding the Fourth Proportional to 3,970.53, 5,480.01 and 2,291.64

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Solution

The fourth proportional to 3,970.53, 5,480.01 and 2,291.64 is: 3,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.53 : 5,480.01 = 2,291.64 : x
  2. Step 2: Convert to fraction form
    3,970.53/5,480.01 = 2,291.64/x
  3. Step 3: Cross multiply
    3,970.53x = 5,480.01 × 2,291.64
  4. Step 4: Simplify right side
    3,970.53x = 12,558,210.12
  5. Step 5: Solve for x
    x = 12,558,210.12/3,970.53
  6. Step 6: Final answer
    x = 3,162.85

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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.