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Finding the Fourth Proportional to 5,488.58, 7,572.19 and 3,498.68

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Solution

The fourth proportional to 5,488.58, 7,572.19 and 3,498.68 is: 4,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.58 : 7,572.19 = 3,498.68 : x
  2. Step 2: Convert to fraction form
    5,488.58/7,572.19 = 3,498.68/x
  3. Step 3: Cross multiply
    5,488.58x = 7,572.19 × 3,498.68
  4. Step 4: Simplify right side
    5,488.58x = 26,492,669.71
  5. Step 5: Solve for x
    x = 26,492,669.71/5,488.58
  6. Step 6: Final answer
    x = 4,826.87

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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.