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Finding the Fourth Proportional to 4,658.34, 6,986.78 and 3,026.46

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Solution

The fourth proportional to 4,658.34, 6,986.78 and 3,026.46 is: 4,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.34 : 6,986.78 = 3,026.46 : x
  2. Step 2: Convert to fraction form
    4,658.34/6,986.78 = 3,026.46/x
  3. Step 3: Cross multiply
    4,658.34x = 6,986.78 × 3,026.46
  4. Step 4: Simplify right side
    4,658.34x = 21,145,210.20
  5. Step 5: Solve for x
    x = 21,145,210.20/4,658.34
  6. Step 6: Final answer
    x = 4,539.22

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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.