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Finding the Fourth Proportional to 6,050.16, 9,074.40 and 2,154

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Solution

The fourth proportional to 6,050.16, 9,074.40 and 2,154 is: 3,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050.16 : 9,074.40 = 2,154 : x
  2. Step 2: Convert to fraction form
    6,050.16/9,074.40 = 2,154/x
  3. Step 3: Cross multiply
    6,050.16x = 9,074.40 × 2,154
  4. Step 4: Simplify right side
    6,050.16x = 19,546,257.60
  5. Step 5: Solve for x
    x = 19,546,257.60/6,050.16
  6. Step 6: Final answer
    x = 3,230.70

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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.