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Finding the Fourth Proportional to 5,441.36, 7,460.18 and 5,342.95

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Solution

The fourth proportional to 5,441.36, 7,460.18 and 5,342.95 is: 7,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.36 : 7,460.18 = 5,342.95 : x
  2. Step 2: Convert to fraction form
    5,441.36/7,460.18 = 5,342.95/x
  3. Step 3: Cross multiply
    5,441.36x = 7,460.18 × 5,342.95
  4. Step 4: Simplify right side
    5,441.36x = 39,859,345.86
  5. Step 5: Solve for x
    x = 39,859,345.86/5,441.36
  6. Step 6: Final answer
    x = 7,325.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.