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Finding the Fourth Proportional to 5,834.34, 8,052.35 and 3,477.87

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Solution

The fourth proportional to 5,834.34, 8,052.35 and 3,477.87 is: 4,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.34 : 8,052.35 = 3,477.87 : x
  2. Step 2: Convert to fraction form
    5,834.34/8,052.35 = 3,477.87/x
  3. Step 3: Cross multiply
    5,834.34x = 8,052.35 × 3,477.87
  4. Step 4: Simplify right side
    5,834.34x = 28,005,009.11
  5. Step 5: Solve for x
    x = 28,005,009.11/5,834.34
  6. Step 6: Final answer
    x = 4,800.03

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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.