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Finding the Fourth Proportional to 3,749.48, 5,624.06 and 976.18

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Solution

The fourth proportional to 3,749.48, 5,624.06 and 976.18 is: 1,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.48 : 5,624.06 = 976.18 : x
  2. Step 2: Convert to fraction form
    3,749.48/5,624.06 = 976.18/x
  3. Step 3: Cross multiply
    3,749.48x = 5,624.06 × 976.18
  4. Step 4: Simplify right side
    3,749.48x = 5,490,094.89
  5. Step 5: Solve for x
    x = 5,490,094.89/3,749.48
  6. Step 6: Final answer
    x = 1,464.23

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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.