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Finding the Fourth Proportional to 4,829.70, 7,244.55 and 4,052.10

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Solution

The fourth proportional to 4,829.70, 7,244.55 and 4,052.10 is: 6,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.70 : 7,244.55 = 4,052.10 : x
  2. Step 2: Convert to fraction form
    4,829.70/7,244.55 = 4,052.10/x
  3. Step 3: Cross multiply
    4,829.70x = 7,244.55 × 4,052.10
  4. Step 4: Simplify right side
    4,829.70x = 29,355,641.06
  5. Step 5: Solve for x
    x = 29,355,641.06/4,829.70
  6. Step 6: Final answer
    x = 6,078.15

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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.