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Finding the Fourth Proportional to 5,828.96, 8,740.38 and 3,055.16

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Solution

The fourth proportional to 5,828.96, 8,740.38 and 3,055.16 is: 4,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.96 : 8,740.38 = 3,055.16 : x
  2. Step 2: Convert to fraction form
    5,828.96/8,740.38 = 3,055.16/x
  3. Step 3: Cross multiply
    5,828.96x = 8,740.38 × 3,055.16
  4. Step 4: Simplify right side
    5,828.96x = 26,703,259.36
  5. Step 5: Solve for x
    x = 26,703,259.36/5,828.96
  6. Step 6: Final answer
    x = 4,581.14

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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.