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Finding the Fourth Proportional to 4,700.50, 7,049.59 and 2,068.67

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Solution

The fourth proportional to 4,700.50, 7,049.59 and 2,068.67 is: 3,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.50 : 7,049.59 = 2,068.67 : x
  2. Step 2: Convert to fraction form
    4,700.50/7,049.59 = 2,068.67/x
  3. Step 3: Cross multiply
    4,700.50x = 7,049.59 × 2,068.67
  4. Step 4: Simplify right side
    4,700.50x = 14,583,275.35
  5. Step 5: Solve for x
    x = 14,583,275.35/4,700.50
  6. Step 6: Final answer
    x = 3,102.49

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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.