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Finding the Fourth Proportional to 4,192.78, 6,289.17 and 1,421.40

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Solution

The fourth proportional to 4,192.78, 6,289.17 and 1,421.40 is: 2,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.78 : 6,289.17 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    4,192.78/6,289.17 = 1,421.40/x
  3. Step 3: Cross multiply
    4,192.78x = 6,289.17 × 1,421.40
  4. Step 4: Simplify right side
    4,192.78x = 8,939,438.41
  5. Step 5: Solve for x
    x = 8,939,438.41/4,192.78
  6. Step 6: Final answer
    x = 2,132.10

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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.