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Finding the Fourth Proportional to 3,870.56, 5,341.37 and 2,102.16

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Solution

The fourth proportional to 3,870.56, 5,341.37 and 2,102.16 is: 2,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.56 : 5,341.37 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    3,870.56/5,341.37 = 2,102.16/x
  3. Step 3: Cross multiply
    3,870.56x = 5,341.37 × 2,102.16
  4. Step 4: Simplify right side
    3,870.56x = 11,228,403.85
  5. Step 5: Solve for x
    x = 11,228,403.85/3,870.56
  6. Step 6: Final answer
    x = 2,900.98

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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.