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Finding the Fourth Proportional to 5,498.51, 7,578.02 and 4,004.06

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Solution

The fourth proportional to 5,498.51, 7,578.02 and 4,004.06 is: 5,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.51 : 7,578.02 = 4,004.06 : x
  2. Step 2: Convert to fraction form
    5,498.51/7,578.02 = 4,004.06/x
  3. Step 3: Cross multiply
    5,498.51x = 7,578.02 × 4,004.06
  4. Step 4: Simplify right side
    5,498.51x = 30,342,818.88
  5. Step 5: Solve for x
    x = 30,342,818.88/5,498.51
  6. Step 6: Final answer
    x = 5,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.