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Finding the Fourth Proportional to 3,870.51, 5,341.31 and 2,102.12

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Solution

The fourth proportional to 3,870.51, 5,341.31 and 2,102.12 is: 2,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.51 : 5,341.31 = 2,102.12 : x
  2. Step 2: Convert to fraction form
    3,870.51/5,341.31 = 2,102.12/x
  3. Step 3: Cross multiply
    3,870.51x = 5,341.31 × 2,102.12
  4. Step 4: Simplify right side
    3,870.51x = 11,228,037.36
  5. Step 5: Solve for x
    x = 11,228,037.36/3,870.51
  6. Step 6: Final answer
    x = 2,900.92

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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.