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Finding the Fourth Proportional to 5,428.74, 8,145.06 and 2,140

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Solution

The fourth proportional to 5,428.74, 8,145.06 and 2,140 is: 3,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.74 : 8,145.06 = 2,140 : x
  2. Step 2: Convert to fraction form
    5,428.74/8,145.06 = 2,140/x
  3. Step 3: Cross multiply
    5,428.74x = 8,145.06 × 2,140
  4. Step 4: Simplify right side
    5,428.74x = 17,430,428.40
  5. Step 5: Solve for x
    x = 17,430,428.40/5,428.74
  6. Step 6: Final answer
    x = 3,210.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.