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Finding the Fourth Proportional to 3,870.53, 5,341.19 and 2,102.10

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Solution

The fourth proportional to 3,870.53, 5,341.19 and 2,102.10 is: 2,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.53 : 5,341.19 = 2,102.10 : x
  2. Step 2: Convert to fraction form
    3,870.53/5,341.19 = 2,102.10/x
  3. Step 3: Cross multiply
    3,870.53x = 5,341.19 × 2,102.10
  4. Step 4: Simplify right side
    3,870.53x = 11,227,715.50
  5. Step 5: Solve for x
    x = 11,227,715.50/3,870.53
  6. Step 6: Final answer
    x = 2,900.82

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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.