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Finding the Fourth Proportional to 5,041, 6,955.77 and 2,916.51

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Solution

The fourth proportional to 5,041, 6,955.77 and 2,916.51 is: 4,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041 : 6,955.77 = 2,916.51 : x
  2. Step 2: Convert to fraction form
    5,041/6,955.77 = 2,916.51/x
  3. Step 3: Cross multiply
    5,041x = 6,955.77 × 2,916.51
  4. Step 4: Simplify right side
    5,041x = 20,286,572.76
  5. Step 5: Solve for x
    x = 20,286,572.76/5,041
  6. Step 6: Final answer
    x = 4,024.32

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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.