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Finding the Fourth Proportional to 3,766.91, 5,652.18 and 2,598.66

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Solution

The fourth proportional to 3,766.91, 5,652.18 and 2,598.66 is: 3,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.91 : 5,652.18 = 2,598.66 : x
  2. Step 2: Convert to fraction form
    3,766.91/5,652.18 = 2,598.66/x
  3. Step 3: Cross multiply
    3,766.91x = 5,652.18 × 2,598.66
  4. Step 4: Simplify right side
    3,766.91x = 14,688,094.08
  5. Step 5: Solve for x
    x = 14,688,094.08/3,766.91
  6. Step 6: Final answer
    x = 3,899.25

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Why These Related Problems?

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