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Finding the Fourth Proportional to 4,199.37, 6,294.93 and 1,564.93

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Solution

The fourth proportional to 4,199.37, 6,294.93 and 1,564.93 is: 2,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.37 : 6,294.93 = 1,564.93 : x
  2. Step 2: Convert to fraction form
    4,199.37/6,294.93 = 1,564.93/x
  3. Step 3: Cross multiply
    4,199.37x = 6,294.93 × 1,564.93
  4. Step 4: Simplify right side
    4,199.37x = 9,851,124.80
  5. Step 5: Solve for x
    x = 9,851,124.80/4,199.37
  6. Step 6: Final answer
    x = 2,345.86

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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.