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Finding the Fourth Proportional to 5,834.06, 8,751.06 and 4,858.10

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Solution

The fourth proportional to 5,834.06, 8,751.06 and 4,858.10 is: 7,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.06 : 8,751.06 = 4,858.10 : x
  2. Step 2: Convert to fraction form
    5,834.06/8,751.06 = 4,858.10/x
  3. Step 3: Cross multiply
    5,834.06x = 8,751.06 × 4,858.10
  4. Step 4: Simplify right side
    5,834.06x = 42,513,524.59
  5. Step 5: Solve for x
    x = 42,513,524.59/5,834.06
  6. Step 6: Final answer
    x = 7,287.13

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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.