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Finding the Fourth Proportional to 3,006.06, 4,509.81 and 1,058.46

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Solution

The fourth proportional to 3,006.06, 4,509.81 and 1,058.46 is: 1,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.06 : 4,509.81 = 1,058.46 : x
  2. Step 2: Convert to fraction form
    3,006.06/4,509.81 = 1,058.46/x
  3. Step 3: Cross multiply
    3,006.06x = 4,509.81 × 1,058.46
  4. Step 4: Simplify right side
    3,006.06x = 4,773,453.49
  5. Step 5: Solve for x
    x = 4,773,453.49/3,006.06
  6. Step 6: Final answer
    x = 1,587.94

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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.