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Finding the Fourth Proportional to 4,823.60, 7,228.44 and 4,302.32

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Solution

The fourth proportional to 4,823.60, 7,228.44 and 4,302.32 is: 6,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.60 : 7,228.44 = 4,302.32 : x
  2. Step 2: Convert to fraction form
    4,823.60/7,228.44 = 4,302.32/x
  3. Step 3: Cross multiply
    4,823.60x = 7,228.44 × 4,302.32
  4. Step 4: Simplify right side
    4,823.60x = 31,099,061.98
  5. Step 5: Solve for x
    x = 31,099,061.98/4,823.60
  6. Step 6: Final answer
    x = 6,447.27

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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.