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Finding the Fourth Proportional to 4,952.34, 7,429.88 and 4,025.60

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Solution

The fourth proportional to 4,952.34, 7,429.88 and 4,025.60 is: 6,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.34 : 7,429.88 = 4,025.60 : x
  2. Step 2: Convert to fraction form
    4,952.34/7,429.88 = 4,025.60/x
  3. Step 3: Cross multiply
    4,952.34x = 7,429.88 × 4,025.60
  4. Step 4: Simplify right side
    4,952.34x = 29,909,724.93
  5. Step 5: Solve for x
    x = 29,909,724.93/4,952.34
  6. Step 6: Final answer
    x = 6,039.51

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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.