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Finding the Fourth Proportional to 4,953.81, 7,430.34 and 1,832.36

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Solution

The fourth proportional to 4,953.81, 7,430.34 and 1,832.36 is: 2,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.81 : 7,430.34 = 1,832.36 : x
  2. Step 2: Convert to fraction form
    4,953.81/7,430.34 = 1,832.36/x
  3. Step 3: Cross multiply
    4,953.81x = 7,430.34 × 1,832.36
  4. Step 4: Simplify right side
    4,953.81x = 13,615,020.65
  5. Step 5: Solve for x
    x = 13,615,020.65/4,953.81
  6. Step 6: Final answer
    x = 2,748.39

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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.