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Finding the Fourth Proportional to 5,658.44, 8,490 and 3,058.32

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Solution

The fourth proportional to 5,658.44, 8,490 and 3,058.32 is: 4,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.44 : 8,490 = 3,058.32 : x
  2. Step 2: Convert to fraction form
    5,658.44/8,490 = 3,058.32/x
  3. Step 3: Cross multiply
    5,658.44x = 8,490 × 3,058.32
  4. Step 4: Simplify right side
    5,658.44x = 25,965,136.80
  5. Step 5: Solve for x
    x = 25,965,136.80/5,658.44
  6. Step 6: Final answer
    x = 4,588.74

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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.