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Finding the Fourth Proportional to 5,038.52, 6,953.14 and 2,830.52

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Solution

The fourth proportional to 5,038.52, 6,953.14 and 2,830.52 is: 3,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.52 : 6,953.14 = 2,830.52 : x
  2. Step 2: Convert to fraction form
    5,038.52/6,953.14 = 2,830.52/x
  3. Step 3: Cross multiply
    5,038.52x = 6,953.14 × 2,830.52
  4. Step 4: Simplify right side
    5,038.52x = 19,681,001.83
  5. Step 5: Solve for x
    x = 19,681,001.83/5,038.52
  6. Step 6: Final answer
    x = 3,906.11

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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.