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Finding the Fourth Proportional to 4,911.72, 7,368.30 and 1,833

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Solution

The fourth proportional to 4,911.72, 7,368.30 and 1,833 is: 2,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.72 : 7,368.30 = 1,833 : x
  2. Step 2: Convert to fraction form
    4,911.72/7,368.30 = 1,833/x
  3. Step 3: Cross multiply
    4,911.72x = 7,368.30 × 1,833
  4. Step 4: Simplify right side
    4,911.72x = 13,506,093.90
  5. Step 5: Solve for x
    x = 13,506,093.90/4,911.72
  6. Step 6: Final answer
    x = 2,749.77

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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.