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Finding the Fourth Proportional to 4,496.88, 6,740.25 and 2,153.66

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Solution

The fourth proportional to 4,496.88, 6,740.25 and 2,153.66 is: 3,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.88 : 6,740.25 = 2,153.66 : x
  2. Step 2: Convert to fraction form
    4,496.88/6,740.25 = 2,153.66/x
  3. Step 3: Cross multiply
    4,496.88x = 6,740.25 × 2,153.66
  4. Step 4: Simplify right side
    4,496.88x = 14,516,173.11
  5. Step 5: Solve for x
    x = 14,516,173.11/4,496.88
  6. Step 6: Final answer
    x = 3,228.05

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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.