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Finding the Fourth Proportional to 5,574.67, 8,362.05 and 1,877.20

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Solution

The fourth proportional to 5,574.67, 8,362.05 and 1,877.20 is: 2,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.67 : 8,362.05 = 1,877.20 : x
  2. Step 2: Convert to fraction form
    5,574.67/8,362.05 = 1,877.20/x
  3. Step 3: Cross multiply
    5,574.67x = 8,362.05 × 1,877.20
  4. Step 4: Simplify right side
    5,574.67x = 15,697,240.26
  5. Step 5: Solve for x
    x = 15,697,240.26/5,574.67
  6. Step 6: Final answer
    x = 2,815.82

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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.