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Finding the Fourth Proportional to 3,710.70, 5,564.16 and 1,113.30

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Solution

The fourth proportional to 3,710.70, 5,564.16 and 1,113.30 is: 1,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,564.16 = 1,113.30 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,564.16 = 1,113.30/x
  3. Step 3: Cross multiply
    3,710.70x = 5,564.16 × 1,113.30
  4. Step 4: Simplify right side
    3,710.70x = 6,194,579.33
  5. Step 5: Solve for x
    x = 6,194,579.33/3,710.70
  6. Step 6: Final answer
    x = 1,669.38

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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.