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Finding the Fourth Proportional to 3,006.91, 4,510.84 and 1,058.66

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Solution

The fourth proportional to 3,006.91, 4,510.84 and 1,058.66 is: 1,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.91 : 4,510.84 = 1,058.66 : x
  2. Step 2: Convert to fraction form
    3,006.91/4,510.84 = 1,058.66/x
  3. Step 3: Cross multiply
    3,006.91x = 4,510.84 × 1,058.66
  4. Step 4: Simplify right side
    3,006.91x = 4,775,445.87
  5. Step 5: Solve for x
    x = 4,775,445.87/3,006.91
  6. Step 6: Final answer
    x = 1,588.16

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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.