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Finding the Fourth Proportional to 5,041.44, 6,956.16 and 2,916.48

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Solution

The fourth proportional to 5,041.44, 6,956.16 and 2,916.48 is: 4,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.44 : 6,956.16 = 2,916.48 : x
  2. Step 2: Convert to fraction form
    5,041.44/6,956.16 = 2,916.48/x
  3. Step 3: Cross multiply
    5,041.44x = 6,956.16 × 2,916.48
  4. Step 4: Simplify right side
    5,041.44x = 20,287,501.52
  5. Step 5: Solve for x
    x = 20,287,501.52/5,041.44
  6. Step 6: Final answer
    x = 4,024.15

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Why These Related Problems?

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