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Finding the Fourth Proportional to 4,725.48, 7,089.16 and 1,952.56

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Solution

The fourth proportional to 4,725.48, 7,089.16 and 1,952.56 is: 2,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.48 : 7,089.16 = 1,952.56 : x
  2. Step 2: Convert to fraction form
    4,725.48/7,089.16 = 1,952.56/x
  3. Step 3: Cross multiply
    4,725.48x = 7,089.16 × 1,952.56
  4. Step 4: Simplify right side
    4,725.48x = 13,842,010.25
  5. Step 5: Solve for x
    x = 13,842,010.25/4,725.48
  6. Step 6: Final answer
    x = 2,929.23

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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.