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Finding the Fourth Proportional to 3,870.99, 5,341.88 and 2,102.59

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Solution

The fourth proportional to 3,870.99, 5,341.88 and 2,102.59 is: 2,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.99 : 5,341.88 = 2,102.59 : x
  2. Step 2: Convert to fraction form
    3,870.99/5,341.88 = 2,102.59/x
  3. Step 3: Cross multiply
    3,870.99x = 5,341.88 × 2,102.59
  4. Step 4: Simplify right side
    3,870.99x = 11,231,783.47
  5. Step 5: Solve for x
    x = 11,231,783.47/3,870.99
  6. Step 6: Final answer
    x = 2,901.53

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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.