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Finding the Fourth Proportional to 4,871.20, 7,321.20 and 4,237.60

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Solution

The fourth proportional to 4,871.20, 7,321.20 and 4,237.60 is: 6,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.20 : 7,321.20 = 4,237.60 : x
  2. Step 2: Convert to fraction form
    4,871.20/7,321.20 = 4,237.60/x
  3. Step 3: Cross multiply
    4,871.20x = 7,321.20 × 4,237.60
  4. Step 4: Simplify right side
    4,871.20x = 31,024,317.12
  5. Step 5: Solve for x
    x = 31,024,317.12/4,871.20
  6. Step 6: Final answer
    x = 6,368.93

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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.