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Finding the Fourth Proportional to 5,848.06, 8,715.33 and 5,661.26

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Solution

The fourth proportional to 5,848.06, 8,715.33 and 5,661.26 is: 8,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.06 : 8,715.33 = 5,661.26 : x
  2. Step 2: Convert to fraction form
    5,848.06/8,715.33 = 5,661.26/x
  3. Step 3: Cross multiply
    5,848.06x = 8,715.33 × 5,661.26
  4. Step 4: Simplify right side
    5,848.06x = 49,339,749.12
  5. Step 5: Solve for x
    x = 49,339,749.12/5,848.06
  6. Step 6: Final answer
    x = 8,436.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.