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Finding the Fourth Proportional to 3,543.77, 5,315.24 and 946.91

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Solution

The fourth proportional to 3,543.77, 5,315.24 and 946.91 is: 1,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.77 : 5,315.24 = 946.91 : x
  2. Step 2: Convert to fraction form
    3,543.77/5,315.24 = 946.91/x
  3. Step 3: Cross multiply
    3,543.77x = 5,315.24 × 946.91
  4. Step 4: Simplify right side
    3,543.77x = 5,033,022.60
  5. Step 5: Solve for x
    x = 5,033,022.60/3,543.77
  6. Step 6: Final answer
    x = 1,420.25

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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.