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Finding the Fourth Proportional to 3,006.76, 4,510.50 and 1,058.56

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Solution

The fourth proportional to 3,006.76, 4,510.50 and 1,058.56 is: 1,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.76 : 4,510.50 = 1,058.56 : x
  2. Step 2: Convert to fraction form
    3,006.76/4,510.50 = 1,058.56/x
  3. Step 3: Cross multiply
    3,006.76x = 4,510.50 × 1,058.56
  4. Step 4: Simplify right side
    3,006.76x = 4,774,634.88
  5. Step 5: Solve for x
    x = 4,774,634.88/3,006.76
  6. Step 6: Final answer
    x = 1,587.97

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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.