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Finding the Fourth Proportional to 3,543.99, 5,315.97 and 946.92

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Solution

The fourth proportional to 3,543.99, 5,315.97 and 946.92 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.99 : 5,315.97 = 946.92 : x
  2. Step 2: Convert to fraction form
    3,543.99/5,315.97 = 946.92/x
  3. Step 3: Cross multiply
    3,543.99x = 5,315.97 × 946.92
  4. Step 4: Simplify right side
    3,543.99x = 5,033,798.31
  5. Step 5: Solve for x
    x = 5,033,798.31/3,543.99
  6. Step 6: Final answer
    x = 1,420.38

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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.