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Finding the Fourth Proportional to 5,806.76, 8,017.38 and 4,460.12

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Solution

The fourth proportional to 5,806.76, 8,017.38 and 4,460.12 is: 6,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.76 : 8,017.38 = 4,460.12 : x
  2. Step 2: Convert to fraction form
    5,806.76/8,017.38 = 4,460.12/x
  3. Step 3: Cross multiply
    5,806.76x = 8,017.38 × 4,460.12
  4. Step 4: Simplify right side
    5,806.76x = 35,758,476.89
  5. Step 5: Solve for x
    x = 35,758,476.89/5,806.76
  6. Step 6: Final answer
    x = 6,158.08

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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.