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Finding the Fourth Proportional to 4,596.84, 6,895.26 and 2,645.01

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Solution

The fourth proportional to 4,596.84, 6,895.26 and 2,645.01 is: 3,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.84 : 6,895.26 = 2,645.01 : x
  2. Step 2: Convert to fraction form
    4,596.84/6,895.26 = 2,645.01/x
  3. Step 3: Cross multiply
    4,596.84x = 6,895.26 × 2,645.01
  4. Step 4: Simplify right side
    4,596.84x = 18,238,031.65
  5. Step 5: Solve for x
    x = 18,238,031.65/4,596.84
  6. Step 6: Final answer
    x = 3,967.52

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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.