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Finding the Fourth Proportional to 4,678.70, 7,017.98 and 1,391.85

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Solution

The fourth proportional to 4,678.70, 7,017.98 and 1,391.85 is: 2,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.70 : 7,017.98 = 1,391.85 : x
  2. Step 2: Convert to fraction form
    4,678.70/7,017.98 = 1,391.85/x
  3. Step 3: Cross multiply
    4,678.70x = 7,017.98 × 1,391.85
  4. Step 4: Simplify right side
    4,678.70x = 9,767,968.50
  5. Step 5: Solve for x
    x = 9,767,968.50/4,678.70
  6. Step 6: Final answer
    x = 2,087.75

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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.