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Finding the Fourth Proportional to 5,483.84, 7,567.67 and 2,965.95

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Solution

The fourth proportional to 5,483.84, 7,567.67 and 2,965.95 is: 4,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.84 : 7,567.67 = 2,965.95 : x
  2. Step 2: Convert to fraction form
    5,483.84/7,567.67 = 2,965.95/x
  3. Step 3: Cross multiply
    5,483.84x = 7,567.67 × 2,965.95
  4. Step 4: Simplify right side
    5,483.84x = 22,445,351.42
  5. Step 5: Solve for x
    x = 22,445,351.42/5,483.84
  6. Step 6: Final answer
    x = 4,093.00

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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.