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Finding the Fourth Proportional to 5,208.66, 7,746.09 and 5,044.62

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Solution

The fourth proportional to 5,208.66, 7,746.09 and 5,044.62 is: 7,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.66 : 7,746.09 = 5,044.62 : x
  2. Step 2: Convert to fraction form
    5,208.66/7,746.09 = 5,044.62/x
  3. Step 3: Cross multiply
    5,208.66x = 7,746.09 × 5,044.62
  4. Step 4: Simplify right side
    5,208.66x = 39,076,080.54
  5. Step 5: Solve for x
    x = 39,076,080.54/5,208.66
  6. Step 6: Final answer
    x = 7,502.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.