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Finding the Fourth Proportional to 4,746.50, 7,119.76 and 1,668.50

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Solution

The fourth proportional to 4,746.50, 7,119.76 and 1,668.50 is: 2,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.50 : 7,119.76 = 1,668.50 : x
  2. Step 2: Convert to fraction form
    4,746.50/7,119.76 = 1,668.50/x
  3. Step 3: Cross multiply
    4,746.50x = 7,119.76 × 1,668.50
  4. Step 4: Simplify right side
    4,746.50x = 11,879,319.56
  5. Step 5: Solve for x
    x = 11,879,319.56/4,746.50
  6. Step 6: Final answer
    x = 2,502.75

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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.