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Finding the Fourth Proportional to 5,460.34, 8,150.78 and 5,054.62

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Solution

The fourth proportional to 5,460.34, 8,150.78 and 5,054.62 is: 7,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.34 : 8,150.78 = 5,054.62 : x
  2. Step 2: Convert to fraction form
    5,460.34/8,150.78 = 5,054.62/x
  3. Step 3: Cross multiply
    5,460.34x = 8,150.78 × 5,054.62
  4. Step 4: Simplify right side
    5,460.34x = 41,199,095.60
  5. Step 5: Solve for x
    x = 41,199,095.60/5,460.34
  6. Step 6: Final answer
    x = 7,545.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.