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Finding the Fourth Proportional to 5,907.84, 8,862.84 and 2,445.36

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Solution

The fourth proportional to 5,907.84, 8,862.84 and 2,445.36 is: 3,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.84 : 8,862.84 = 2,445.36 : x
  2. Step 2: Convert to fraction form
    5,907.84/8,862.84 = 2,445.36/x
  3. Step 3: Cross multiply
    5,907.84x = 8,862.84 × 2,445.36
  4. Step 4: Simplify right side
    5,907.84x = 21,672,834.42
  5. Step 5: Solve for x
    x = 21,672,834.42/5,907.84
  6. Step 6: Final answer
    x = 3,668.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.