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Finding the Fourth Proportional to 5,038.44, 6,953.38 and 2,914.40

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Solution

The fourth proportional to 5,038.44, 6,953.38 and 2,914.40 is: 4,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.44 : 6,953.38 = 2,914.40 : x
  2. Step 2: Convert to fraction form
    5,038.44/6,953.38 = 2,914.40/x
  3. Step 3: Cross multiply
    5,038.44x = 6,953.38 × 2,914.40
  4. Step 4: Simplify right side
    5,038.44x = 20,264,930.67
  5. Step 5: Solve for x
    x = 20,264,930.67/5,038.44
  6. Step 6: Final answer
    x = 4,022.06

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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.