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Finding the Fourth Proportional to 4,707.45, 7,058.65 and 1,586.43

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Solution

The fourth proportional to 4,707.45, 7,058.65 and 1,586.43 is: 2,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.45 : 7,058.65 = 1,586.43 : x
  2. Step 2: Convert to fraction form
    4,707.45/7,058.65 = 1,586.43/x
  3. Step 3: Cross multiply
    4,707.45x = 7,058.65 × 1,586.43
  4. Step 4: Simplify right side
    4,707.45x = 11,198,054.12
  5. Step 5: Solve for x
    x = 11,198,054.12/4,707.45
  6. Step 6: Final answer
    x = 2,378.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.