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Finding the Fourth Proportional to 4,872.36, 7,311.58 and 1,913.32

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Solution

The fourth proportional to 4,872.36, 7,311.58 and 1,913.32 is: 2,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.36 : 7,311.58 = 1,913.32 : x
  2. Step 2: Convert to fraction form
    4,872.36/7,311.58 = 1,913.32/x
  3. Step 3: Cross multiply
    4,872.36x = 7,311.58 × 1,913.32
  4. Step 4: Simplify right side
    4,872.36x = 13,989,392.25
  5. Step 5: Solve for x
    x = 13,989,392.25/4,872.36
  6. Step 6: Final answer
    x = 2,871.17

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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.