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Finding the Fourth Proportional to 5,398.74, 7,453.08 and 3,830.58

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Solution

The fourth proportional to 5,398.74, 7,453.08 and 3,830.58 is: 5,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.74 : 7,453.08 = 3,830.58 : x
  2. Step 2: Convert to fraction form
    5,398.74/7,453.08 = 3,830.58/x
  3. Step 3: Cross multiply
    5,398.74x = 7,453.08 × 3,830.58
  4. Step 4: Simplify right side
    5,398.74x = 28,549,619.19
  5. Step 5: Solve for x
    x = 28,549,619.19/5,398.74
  6. Step 6: Final answer
    x = 5,288.20

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