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Finding the Fourth Proportional to 5,683.04, 7,840.57 and 3,291.71

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Solution

The fourth proportional to 5,683.04, 7,840.57 and 3,291.71 is: 4,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.04 : 7,840.57 = 3,291.71 : x
  2. Step 2: Convert to fraction form
    5,683.04/7,840.57 = 3,291.71/x
  3. Step 3: Cross multiply
    5,683.04x = 7,840.57 × 3,291.71
  4. Step 4: Simplify right side
    5,683.04x = 25,808,882.67
  5. Step 5: Solve for x
    x = 25,808,882.67/5,683.04
  6. Step 6: Final answer
    x = 4,541.39

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Why These Related Problems?

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