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Finding the Fourth Proportional to 5,038.52, 6,953.16 and 2,942.24

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Solution

The fourth proportional to 5,038.52, 6,953.16 and 2,942.24 is: 4,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.52 : 6,953.16 = 2,942.24 : x
  2. Step 2: Convert to fraction form
    5,038.52/6,953.16 = 2,942.24/x
  3. Step 3: Cross multiply
    5,038.52x = 6,953.16 × 2,942.24
  4. Step 4: Simplify right side
    5,038.52x = 20,457,865.48
  5. Step 5: Solve for x
    x = 20,457,865.48/5,038.52
  6. Step 6: Final answer
    x = 4,060.29

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1.5x scale

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.