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Finding the Fourth Proportional to 5,699.32, 8,541.40 and 3,232.60

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Solution

The fourth proportional to 5,699.32, 8,541.40 and 3,232.60 is: 4,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.32 : 8,541.40 = 3,232.60 : x
  2. Step 2: Convert to fraction form
    5,699.32/8,541.40 = 3,232.60/x
  3. Step 3: Cross multiply
    5,699.32x = 8,541.40 × 3,232.60
  4. Step 4: Simplify right side
    5,699.32x = 27,610,929.64
  5. Step 5: Solve for x
    x = 27,610,929.64/5,699.32
  6. Step 6: Final answer
    x = 4,844.60

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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.