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Finding the Fourth Proportional to 5,790.48, 7,987.32 and 3,430.32

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Solution

The fourth proportional to 5,790.48, 7,987.32 and 3,430.32 is: 4,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.48 : 7,987.32 = 3,430.32 : x
  2. Step 2: Convert to fraction form
    5,790.48/7,987.32 = 3,430.32/x
  3. Step 3: Cross multiply
    5,790.48x = 7,987.32 × 3,430.32
  4. Step 4: Simplify right side
    5,790.48x = 27,399,063.54
  5. Step 5: Solve for x
    x = 27,399,063.54/5,790.48
  6. Step 6: Final answer
    x = 4,731.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.