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Finding the Fourth Proportional to 3,428.61, 5,145.05 and 1,580.00

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Solution

The fourth proportional to 3,428.61, 5,145.05 and 1,580.00 is: 2,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.61 : 5,145.05 = 1,580.00 : x
  2. Step 2: Convert to fraction form
    3,428.61/5,145.05 = 1,580.00/x
  3. Step 3: Cross multiply
    3,428.61x = 5,145.05 × 1,580.00
  4. Step 4: Simplify right side
    3,428.61x = 8,129,145.37
  5. Step 5: Solve for x
    x = 8,129,145.37/3,428.61
  6. Step 6: Final answer
    x = 2,370.97

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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.