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Finding the Fourth Proportional to 5,658.98, 8,490.89 and 4,026.02

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Solution

The fourth proportional to 5,658.98, 8,490.89 and 4,026.02 is: 6,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.98 : 8,490.89 = 4,026.02 : x
  2. Step 2: Convert to fraction form
    5,658.98/8,490.89 = 4,026.02/x
  3. Step 3: Cross multiply
    5,658.98x = 8,490.89 × 4,026.02
  4. Step 4: Simplify right side
    5,658.98x = 34,184,460.57
  5. Step 5: Solve for x
    x = 34,184,460.57/5,658.98
  6. Step 6: Final answer
    x = 6,040.75

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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.