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Finding the Fourth Proportional to 4,478.01, 6,715.38 and 1,705.41

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Solution

The fourth proportional to 4,478.01, 6,715.38 and 1,705.41 is: 2,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.01 : 6,715.38 = 1,705.41 : x
  2. Step 2: Convert to fraction form
    4,478.01/6,715.38 = 1,705.41/x
  3. Step 3: Cross multiply
    4,478.01x = 6,715.38 × 1,705.41
  4. Step 4: Simplify right side
    4,478.01x = 11,452,476.21
  5. Step 5: Solve for x
    x = 11,452,476.21/4,478.01
  6. Step 6: Final answer
    x = 2,557.49

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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.