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Finding the Fourth Proportional to 4,902.64, 7,354.16 and 2,303.76

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Solution

The fourth proportional to 4,902.64, 7,354.16 and 2,303.76 is: 3,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.64 : 7,354.16 = 2,303.76 : x
  2. Step 2: Convert to fraction form
    4,902.64/7,354.16 = 2,303.76/x
  3. Step 3: Cross multiply
    4,902.64x = 7,354.16 × 2,303.76
  4. Step 4: Simplify right side
    4,902.64x = 16,942,219.64
  5. Step 5: Solve for x
    x = 16,942,219.64/4,902.64
  6. Step 6: Final answer
    x = 3,455.73

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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.