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Finding the Fourth Proportional to 2,869.95, 3,957.26 and 2,590.09

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Solution

The fourth proportional to 2,869.95, 3,957.26 and 2,590.09 is: 3,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.95 : 3,957.26 = 2,590.09 : x
  2. Step 2: Convert to fraction form
    2,869.95/3,957.26 = 2,590.09/x
  3. Step 3: Cross multiply
    2,869.95x = 3,957.26 × 2,590.09
  4. Step 4: Simplify right side
    2,869.95x = 10,249,666.03
  5. Step 5: Solve for x
    x = 10,249,666.03/2,869.95
  6. Step 6: Final answer
    x = 3,571.38

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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.