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Finding the Fourth Proportional to 3,970.04, 5,474.76 and 3,656.12

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Solution

The fourth proportional to 3,970.04, 5,474.76 and 3,656.12 is: 5,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.04 : 5,474.76 = 3,656.12 : x
  2. Step 2: Convert to fraction form
    3,970.04/5,474.76 = 3,656.12/x
  3. Step 3: Cross multiply
    3,970.04x = 5,474.76 × 3,656.12
  4. Step 4: Simplify right side
    3,970.04x = 20,016,379.53
  5. Step 5: Solve for x
    x = 20,016,379.53/3,970.04
  6. Step 6: Final answer
    x = 5,041.86

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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.