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Finding the Fourth Proportional to 3,710.03, 5,564.42 and 1,735.86

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Solution

The fourth proportional to 3,710.03, 5,564.42 and 1,735.86 is: 2,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.03 : 5,564.42 = 1,735.86 : x
  2. Step 2: Convert to fraction form
    3,710.03/5,564.42 = 1,735.86/x
  3. Step 3: Cross multiply
    3,710.03x = 5,564.42 × 1,735.86
  4. Step 4: Simplify right side
    3,710.03x = 9,659,045.42
  5. Step 5: Solve for x
    x = 9,659,045.42/3,710.03
  6. Step 6: Final answer
    x = 2,603.50

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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.