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Finding the Fourth Proportional to 4,574.40, 6,323.04 and 4,211.52

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Solution

The fourth proportional to 4,574.40, 6,323.04 and 4,211.52 is: 5,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.40 : 6,323.04 = 4,211.52 : x
  2. Step 2: Convert to fraction form
    4,574.40/6,323.04 = 4,211.52/x
  3. Step 3: Cross multiply
    4,574.40x = 6,323.04 × 4,211.52
  4. Step 4: Simplify right side
    4,574.40x = 26,629,609.42
  5. Step 5: Solve for x
    x = 26,629,609.42/4,574.40
  6. Step 6: Final answer
    x = 5,821.44

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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.