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Finding the Fourth Proportional to 4,626.46, 6,941.97 and 2,870.99

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Solution

The fourth proportional to 4,626.46, 6,941.97 and 2,870.99 is: 4,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.46 : 6,941.97 = 2,870.99 : x
  2. Step 2: Convert to fraction form
    4,626.46/6,941.97 = 2,870.99/x
  3. Step 3: Cross multiply
    4,626.46x = 6,941.97 × 2,870.99
  4. Step 4: Simplify right side
    4,626.46x = 19,930,317.77
  5. Step 5: Solve for x
    x = 19,930,317.77/4,626.46
  6. Step 6: Final answer
    x = 4,307.90

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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.