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Finding the Fourth Proportional to 4,668.65, 7,002.87 and 1,158.67

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Solution

The fourth proportional to 4,668.65, 7,002.87 and 1,158.67 is: 1,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.65 : 7,002.87 = 1,158.67 : x
  2. Step 2: Convert to fraction form
    4,668.65/7,002.87 = 1,158.67/x
  3. Step 3: Cross multiply
    4,668.65x = 7,002.87 × 1,158.67
  4. Step 4: Simplify right side
    4,668.65x = 8,114,026.31
  5. Step 5: Solve for x
    x = 8,114,026.31/4,668.65
  6. Step 6: Final answer
    x = 1,737.98

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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.