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Finding the Fourth Proportional to 4,871.19, 7,301.54 and 2,099.16

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Solution

The fourth proportional to 4,871.19, 7,301.54 and 2,099.16 is: 3,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.19 : 7,301.54 = 2,099.16 : x
  2. Step 2: Convert to fraction form
    4,871.19/7,301.54 = 2,099.16/x
  3. Step 3: Cross multiply
    4,871.19x = 7,301.54 × 2,099.16
  4. Step 4: Simplify right side
    4,871.19x = 15,327,100.71
  5. Step 5: Solve for x
    x = 15,327,100.71/4,871.19
  6. Step 6: Final answer
    x = 3,146.48

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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.