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Finding the Fourth Proportional to 5,038.50, 6,953.13 and 2,830.50

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Solution

The fourth proportional to 5,038.50, 6,953.13 and 2,830.50 is: 3,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.50 : 6,953.13 = 2,830.50 : x
  2. Step 2: Convert to fraction form
    5,038.50/6,953.13 = 2,830.50/x
  3. Step 3: Cross multiply
    5,038.50x = 6,953.13 × 2,830.50
  4. Step 4: Simplify right side
    5,038.50x = 19,680,834.47
  5. Step 5: Solve for x
    x = 19,680,834.47/5,038.50
  6. Step 6: Final answer
    x = 3,906.09

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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.