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Finding the Fourth Proportional to 4,668.27, 7,002.53 and 1,746.01

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Solution

The fourth proportional to 4,668.27, 7,002.53 and 1,746.01 is: 2,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.27 : 7,002.53 = 1,746.01 : x
  2. Step 2: Convert to fraction form
    4,668.27/7,002.53 = 1,746.01/x
  3. Step 3: Cross multiply
    4,668.27x = 7,002.53 × 1,746.01
  4. Step 4: Simplify right side
    4,668.27x = 12,226,487.41
  5. Step 5: Solve for x
    x = 12,226,487.41/4,668.27
  6. Step 6: Final answer
    x = 2,619.06

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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.