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Finding the Fourth Proportional to 3,590.42, 5,388.33 and 1,397.93

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Solution

The fourth proportional to 3,590.42, 5,388.33 and 1,397.93 is: 2,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.42 : 5,388.33 = 1,397.93 : x
  2. Step 2: Convert to fraction form
    3,590.42/5,388.33 = 1,397.93/x
  3. Step 3: Cross multiply
    3,590.42x = 5,388.33 × 1,397.93
  4. Step 4: Simplify right side
    3,590.42x = 7,532,508.16
  5. Step 5: Solve for x
    x = 7,532,508.16/3,590.42
  6. Step 6: Final answer
    x = 2,097.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.