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Finding the Fourth Proportional to 3,870.01, 5,340.64 and 2,101.62

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Solution

The fourth proportional to 3,870.01, 5,340.64 and 2,101.62 is: 2,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.01 : 5,340.64 = 2,101.62 : x
  2. Step 2: Convert to fraction form
    3,870.01/5,340.64 = 2,101.62/x
  3. Step 3: Cross multiply
    3,870.01x = 5,340.64 × 2,101.62
  4. Step 4: Simplify right side
    3,870.01x = 11,223,970.56
  5. Step 5: Solve for x
    x = 11,223,970.56/3,870.01
  6. Step 6: Final answer
    x = 2,900.24

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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.