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Finding the Fourth Proportional to 5,268.60, 7,289.10 and 5,153.40

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Solution

The fourth proportional to 5,268.60, 7,289.10 and 5,153.40 is: 7,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.60 : 7,289.10 = 5,153.40 : x
  2. Step 2: Convert to fraction form
    5,268.60/7,289.10 = 5,153.40/x
  3. Step 3: Cross multiply
    5,268.60x = 7,289.10 × 5,153.40
  4. Step 4: Simplify right side
    5,268.60x = 37,563,647.94
  5. Step 5: Solve for x
    x = 37,563,647.94/5,268.60
  6. Step 6: Final answer
    x = 7,129.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.