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Finding the Fourth Proportional to 5,301.84, 7,316.76 and 2,944

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Solution

The fourth proportional to 5,301.84, 7,316.76 and 2,944 is: 4,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.84 : 7,316.76 = 2,944 : x
  2. Step 2: Convert to fraction form
    5,301.84/7,316.76 = 2,944/x
  3. Step 3: Cross multiply
    5,301.84x = 7,316.76 × 2,944
  4. Step 4: Simplify right side
    5,301.84x = 21,540,541.44
  5. Step 5: Solve for x
    x = 21,540,541.44/5,301.84
  6. Step 6: Final answer
    x = 4,062.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.