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Finding the Fourth Proportional to 4,956.92, 7,435.40 and 1,259.14

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Solution

The fourth proportional to 4,956.92, 7,435.40 and 1,259.14 is: 1,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.92 : 7,435.40 = 1,259.14 : x
  2. Step 2: Convert to fraction form
    4,956.92/7,435.40 = 1,259.14/x
  3. Step 3: Cross multiply
    4,956.92x = 7,435.40 × 1,259.14
  4. Step 4: Simplify right side
    4,956.92x = 9,362,209.56
  5. Step 5: Solve for x
    x = 9,362,209.56/4,956.92
  6. Step 6: Final answer
    x = 1,888.72

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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.