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Finding the Fourth Proportional to 4,200.37, 6,296.43 and 1,565.93

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Solution

The fourth proportional to 4,200.37, 6,296.43 and 1,565.93 is: 2,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.37 : 6,296.43 = 1,565.93 : x
  2. Step 2: Convert to fraction form
    4,200.37/6,296.43 = 1,565.93/x
  3. Step 3: Cross multiply
    4,200.37x = 6,296.43 × 1,565.93
  4. Step 4: Simplify right side
    4,200.37x = 9,859,768.63
  5. Step 5: Solve for x
    x = 9,859,768.63/4,200.37
  6. Step 6: Final answer
    x = 2,347.36

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