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Finding the Fourth Proportional to 3,803.49, 5,705.20 and 1,030.43

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Solution

The fourth proportional to 3,803.49, 5,705.20 and 1,030.43 is: 1,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.49 : 5,705.20 = 1,030.43 : x
  2. Step 2: Convert to fraction form
    3,803.49/5,705.20 = 1,030.43/x
  3. Step 3: Cross multiply
    3,803.49x = 5,705.20 × 1,030.43
  4. Step 4: Simplify right side
    3,803.49x = 5,878,824.79
  5. Step 5: Solve for x
    x = 5,878,824.79/3,803.49
  6. Step 6: Final answer
    x = 1,545.64

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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.