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Finding the Fourth Proportional to 3,715.74, 5,574.47 and 1,083.30

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Solution

The fourth proportional to 3,715.74, 5,574.47 and 1,083.30 is: 1,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.74 : 5,574.47 = 1,083.30 : x
  2. Step 2: Convert to fraction form
    3,715.74/5,574.47 = 1,083.30/x
  3. Step 3: Cross multiply
    3,715.74x = 5,574.47 × 1,083.30
  4. Step 4: Simplify right side
    3,715.74x = 6,038,817.93
  5. Step 5: Solve for x
    x = 6,038,817.93/3,715.74
  6. Step 6: Final answer
    x = 1,625.20

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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.