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Finding the Fourth Proportional to 5,038.19, 6,953.05 and 2,914.14

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Solution

The fourth proportional to 5,038.19, 6,953.05 and 2,914.14 is: 4,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.19 : 6,953.05 = 2,914.14 : x
  2. Step 2: Convert to fraction form
    5,038.19/6,953.05 = 2,914.14/x
  3. Step 3: Cross multiply
    5,038.19x = 6,953.05 × 2,914.14
  4. Step 4: Simplify right side
    5,038.19x = 20,262,161.13
  5. Step 5: Solve for x
    x = 20,262,161.13/5,038.19
  6. Step 6: Final answer
    x = 4,021.71

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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.