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Finding the Fourth Proportional to 5,678.30, 8,501.05 and 3,480.37

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Solution

The fourth proportional to 5,678.30, 8,501.05 and 3,480.37 is: 5,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.30 : 8,501.05 = 3,480.37 : x
  2. Step 2: Convert to fraction form
    5,678.30/8,501.05 = 3,480.37/x
  3. Step 3: Cross multiply
    5,678.30x = 8,501.05 × 3,480.37
  4. Step 4: Simplify right side
    5,678.30x = 29,586,782.49
  5. Step 5: Solve for x
    x = 29,586,782.49/5,678.30
  6. Step 6: Final answer
    x = 5,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.