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Finding the Fourth Proportional to 5,795.64, 8,712.75 and 4,707.61

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Solution

The fourth proportional to 5,795.64, 8,712.75 and 4,707.61 is: 7,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.64 : 8,712.75 = 4,707.61 : x
  2. Step 2: Convert to fraction form
    5,795.64/8,712.75 = 4,707.61/x
  3. Step 3: Cross multiply
    5,795.64x = 8,712.75 × 4,707.61
  4. Step 4: Simplify right side
    5,795.64x = 41,016,229.03
  5. Step 5: Solve for x
    x = 41,016,229.03/5,795.64
  6. Step 6: Final answer
    x = 7,077.08

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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.