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Finding the Fourth Proportional to 5,111.60, 7,667.40 and 1,828.40

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Solution

The fourth proportional to 5,111.60, 7,667.40 and 1,828.40 is: 2,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.60 : 7,667.40 = 1,828.40 : x
  2. Step 2: Convert to fraction form
    5,111.60/7,667.40 = 1,828.40/x
  3. Step 3: Cross multiply
    5,111.60x = 7,667.40 × 1,828.40
  4. Step 4: Simplify right side
    5,111.60x = 14,019,074.16
  5. Step 5: Solve for x
    x = 14,019,074.16/5,111.60
  6. Step 6: Final answer
    x = 2,742.60

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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.