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Finding the Fourth Proportional to 4,972.56, 7,458.03 and 1,509

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Solution

The fourth proportional to 4,972.56, 7,458.03 and 1,509 is: 2,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.56 : 7,458.03 = 1,509 : x
  2. Step 2: Convert to fraction form
    4,972.56/7,458.03 = 1,509/x
  3. Step 3: Cross multiply
    4,972.56x = 7,458.03 × 1,509
  4. Step 4: Simplify right side
    4,972.56x = 11,254,167.27
  5. Step 5: Solve for x
    x = 11,254,167.27/4,972.56
  6. Step 6: Final answer
    x = 2,263.25

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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.