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Finding the Fourth Proportional to 4,078.72, 6,118.08 and 1,156.66

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Solution

The fourth proportional to 4,078.72, 6,118.08 and 1,156.66 is: 1,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.72 : 6,118.08 = 1,156.66 : x
  2. Step 2: Convert to fraction form
    4,078.72/6,118.08 = 1,156.66/x
  3. Step 3: Cross multiply
    4,078.72x = 6,118.08 × 1,156.66
  4. Step 4: Simplify right side
    4,078.72x = 7,076,538.41
  5. Step 5: Solve for x
    x = 7,076,538.41/4,078.72
  6. Step 6: Final answer
    x = 1,734.99

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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.