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Finding the Fourth Proportional to 5,590.42, 7,718.40 and 3,468.22

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Solution

The fourth proportional to 5,590.42, 7,718.40 and 3,468.22 is: 4,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.42 : 7,718.40 = 3,468.22 : x
  2. Step 2: Convert to fraction form
    5,590.42/7,718.40 = 3,468.22/x
  3. Step 3: Cross multiply
    5,590.42x = 7,718.40 × 3,468.22
  4. Step 4: Simplify right side
    5,590.42x = 26,769,089.95
  5. Step 5: Solve for x
    x = 26,769,089.95/5,590.42
  6. Step 6: Final answer
    x = 4,788.39

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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.