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Finding the Fourth Proportional to 5,823.40, 8,033.20 and 3,585.76

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Solution

The fourth proportional to 5,823.40, 8,033.20 and 3,585.76 is: 4,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.40 : 8,033.20 = 3,585.76 : x
  2. Step 2: Convert to fraction form
    5,823.40/8,033.20 = 3,585.76/x
  3. Step 3: Cross multiply
    5,823.40x = 8,033.20 × 3,585.76
  4. Step 4: Simplify right side
    5,823.40x = 28,805,127.23
  5. Step 5: Solve for x
    x = 28,805,127.23/5,823.40
  6. Step 6: Final answer
    x = 4,946.44

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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.