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Finding the Fourth Proportional to 4,089.60, 6,134.40 and 2,858.40

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Solution

The fourth proportional to 4,089.60, 6,134.40 and 2,858.40 is: 4,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.60 : 6,134.40 = 2,858.40 : x
  2. Step 2: Convert to fraction form
    4,089.60/6,134.40 = 2,858.40/x
  3. Step 3: Cross multiply
    4,089.60x = 6,134.40 × 2,858.40
  4. Step 4: Simplify right side
    4,089.60x = 17,534,568.96
  5. Step 5: Solve for x
    x = 17,534,568.96/4,089.60
  6. Step 6: Final answer
    x = 4,287.60

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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.