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Finding the Fourth Proportional to 5,806.93, 8,721.60 and 4,975.87

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Solution

The fourth proportional to 5,806.93, 8,721.60 and 4,975.87 is: 7,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.93 : 8,721.60 = 4,975.87 : x
  2. Step 2: Convert to fraction form
    5,806.93/8,721.60 = 4,975.87/x
  3. Step 3: Cross multiply
    5,806.93x = 8,721.60 × 4,975.87
  4. Step 4: Simplify right side
    5,806.93x = 43,397,547.79
  5. Step 5: Solve for x
    x = 43,397,547.79/5,806.93
  6. Step 6: Final answer
    x = 7,473.41

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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.