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Finding the Fourth Proportional to 3,803.79, 5,706.05 and 1,030.49

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Solution

The fourth proportional to 3,803.79, 5,706.05 and 1,030.49 is: 1,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.79 : 5,706.05 = 1,030.49 : x
  2. Step 2: Convert to fraction form
    3,803.79/5,706.05 = 1,030.49/x
  3. Step 3: Cross multiply
    3,803.79x = 5,706.05 × 1,030.49
  4. Step 4: Simplify right side
    3,803.79x = 5,880,015.18
  5. Step 5: Solve for x
    x = 5,880,015.18/3,803.79
  6. Step 6: Final answer
    x = 1,545.83

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Why These Related Problems?

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