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Finding the Fourth Proportional to 4,173.66, 5,746.53 and 3,542.87

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Solution

The fourth proportional to 4,173.66, 5,746.53 and 3,542.87 is: 4,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.66 : 5,746.53 = 3,542.87 : x
  2. Step 2: Convert to fraction form
    4,173.66/5,746.53 = 3,542.87/x
  3. Step 3: Cross multiply
    4,173.66x = 5,746.53 × 3,542.87
  4. Step 4: Simplify right side
    4,173.66x = 20,359,208.74
  5. Step 5: Solve for x
    x = 20,359,208.74/4,173.66
  6. Step 6: Final answer
    x = 4,878.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.