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Finding the Fourth Proportional to 4,668.77, 7,003.29 and 1,746.51

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Solution

The fourth proportional to 4,668.77, 7,003.29 and 1,746.51 is: 2,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.77 : 7,003.29 = 1,746.51 : x
  2. Step 2: Convert to fraction form
    4,668.77/7,003.29 = 1,746.51/x
  3. Step 3: Cross multiply
    4,668.77x = 7,003.29 × 1,746.51
  4. Step 4: Simplify right side
    4,668.77x = 12,231,316.02
  5. Step 5: Solve for x
    x = 12,231,316.02/4,668.77
  6. Step 6: Final answer
    x = 2,619.82

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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.