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Finding the Fourth Proportional to 5,671.32, 7,823.70 and 4,410.15

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Solution

The fourth proportional to 5,671.32, 7,823.70 and 4,410.15 is: 6,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.32 : 7,823.70 = 4,410.15 : x
  2. Step 2: Convert to fraction form
    5,671.32/7,823.70 = 4,410.15/x
  3. Step 3: Cross multiply
    5,671.32x = 7,823.70 × 4,410.15
  4. Step 4: Simplify right side
    5,671.32x = 34,503,690.56
  5. Step 5: Solve for x
    x = 34,503,690.56/5,671.32
  6. Step 6: Final answer
    x = 6,083.89

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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.