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Finding the Fourth Proportional to 5,301.72, 7,948.94 and 2,526.26

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Solution

The fourth proportional to 5,301.72, 7,948.94 and 2,526.26 is: 3,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.72 : 7,948.94 = 2,526.26 : x
  2. Step 2: Convert to fraction form
    5,301.72/7,948.94 = 2,526.26/x
  3. Step 3: Cross multiply
    5,301.72x = 7,948.94 × 2,526.26
  4. Step 4: Simplify right side
    5,301.72x = 20,081,036.79
  5. Step 5: Solve for x
    x = 20,081,036.79/5,301.72
  6. Step 6: Final answer
    x = 3,787.65

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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.