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Finding the Fourth Proportional to 5,460.90, 8,200.95 and 5,288.10

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Solution

The fourth proportional to 5,460.90, 8,200.95 and 5,288.10 is: 7,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.90 : 8,200.95 = 5,288.10 : x
  2. Step 2: Convert to fraction form
    5,460.90/8,200.95 = 5,288.10/x
  3. Step 3: Cross multiply
    5,460.90x = 8,200.95 × 5,288.10
  4. Step 4: Simplify right side
    5,460.90x = 43,367,443.70
  5. Step 5: Solve for x
    x = 43,367,443.70/5,460.90
  6. Step 6: Final answer
    x = 7,941.45

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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.