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Finding the Fourth Proportional to 4,103.86, 6,156.40 and 1,506.60

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Solution

The fourth proportional to 4,103.86, 6,156.40 and 1,506.60 is: 2,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.86 : 6,156.40 = 1,506.60 : x
  2. Step 2: Convert to fraction form
    4,103.86/6,156.40 = 1,506.60/x
  3. Step 3: Cross multiply
    4,103.86x = 6,156.40 × 1,506.60
  4. Step 4: Simplify right side
    4,103.86x = 9,275,193.93
  5. Step 5: Solve for x
    x = 9,275,193.93/4,103.86
  6. Step 6: Final answer
    x = 2,260.11

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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.