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Finding the Fourth Proportional to 5,893.16, 8,132.48 and 3,204.32

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Solution

The fourth proportional to 5,893.16, 8,132.48 and 3,204.32 is: 4,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.16 : 8,132.48 = 3,204.32 : x
  2. Step 2: Convert to fraction form
    5,893.16/8,132.48 = 3,204.32/x
  3. Step 3: Cross multiply
    5,893.16x = 8,132.48 × 3,204.32
  4. Step 4: Simplify right side
    5,893.16x = 26,059,068.31
  5. Step 5: Solve for x
    x = 26,059,068.31/5,893.16
  6. Step 6: Final answer
    x = 4,421.92

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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.