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Finding the Fourth Proportional to 5,403.66, 7,458.21 and 3,412.95

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Solution

The fourth proportional to 5,403.66, 7,458.21 and 3,412.95 is: 4,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.66 : 7,458.21 = 3,412.95 : x
  2. Step 2: Convert to fraction form
    5,403.66/7,458.21 = 3,412.95/x
  3. Step 3: Cross multiply
    5,403.66x = 7,458.21 × 3,412.95
  4. Step 4: Simplify right side
    5,403.66x = 25,454,497.82
  5. Step 5: Solve for x
    x = 25,454,497.82/5,403.66
  6. Step 6: Final answer
    x = 4,710.60

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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.