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Finding the Fourth Proportional to 5,674.16, 7,823.51 and 4,731.32

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Solution

The fourth proportional to 5,674.16, 7,823.51 and 4,731.32 is: 6,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.16 : 7,823.51 = 4,731.32 : x
  2. Step 2: Convert to fraction form
    5,674.16/7,823.51 = 4,731.32/x
  3. Step 3: Cross multiply
    5,674.16x = 7,823.51 × 4,731.32
  4. Step 4: Simplify right side
    5,674.16x = 37,015,466.56
  5. Step 5: Solve for x
    x = 37,015,466.56/5,674.16
  6. Step 6: Final answer
    x = 6,523.52

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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.