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Finding the Fourth Proportional to 4,815.60, 7,223.40 and 1,352.40

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Solution

The fourth proportional to 4,815.60, 7,223.40 and 1,352.40 is: 2,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.60 : 7,223.40 = 1,352.40 : x
  2. Step 2: Convert to fraction form
    4,815.60/7,223.40 = 1,352.40/x
  3. Step 3: Cross multiply
    4,815.60x = 7,223.40 × 1,352.40
  4. Step 4: Simplify right side
    4,815.60x = 9,768,926.16
  5. Step 5: Solve for x
    x = 9,768,926.16/4,815.60
  6. Step 6: Final answer
    x = 2,028.60

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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.