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Finding the Fourth Proportional to 3,004.70, 4,507.66 and 1,058.28

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Solution

The fourth proportional to 3,004.70, 4,507.66 and 1,058.28 is: 1,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.70 : 4,507.66 = 1,058.28 : x
  2. Step 2: Convert to fraction form
    3,004.70/4,507.66 = 1,058.28/x
  3. Step 3: Cross multiply
    3,004.70x = 4,507.66 × 1,058.28
  4. Step 4: Simplify right side
    3,004.70x = 4,770,366.42
  5. Step 5: Solve for x
    x = 4,770,366.42/3,004.70
  6. Step 6: Final answer
    x = 1,587.63

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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.