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Finding the Fourth Proportional to 5,834.34, 8,041.73 and 4,130.64

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Solution

The fourth proportional to 5,834.34, 8,041.73 and 4,130.64 is: 5,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.34 : 8,041.73 = 4,130.64 : x
  2. Step 2: Convert to fraction form
    5,834.34/8,041.73 = 4,130.64/x
  3. Step 3: Cross multiply
    5,834.34x = 8,041.73 × 4,130.64
  4. Step 4: Simplify right side
    5,834.34x = 33,217,491.61
  5. Step 5: Solve for x
    x = 33,217,491.61/5,834.34
  6. Step 6: Final answer
    x = 5,693.44

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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.