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Finding the Fourth Proportional to 4,596.78, 6,897 and 1,675.32

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Solution

The fourth proportional to 4,596.78, 6,897 and 1,675.32 is: 2,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.78 : 6,897 = 1,675.32 : x
  2. Step 2: Convert to fraction form
    4,596.78/6,897 = 1,675.32/x
  3. Step 3: Cross multiply
    4,596.78x = 6,897 × 1,675.32
  4. Step 4: Simplify right side
    4,596.78x = 11,554,682.04
  5. Step 5: Solve for x
    x = 11,554,682.04/4,596.78
  6. Step 6: Final answer
    x = 2,513.65

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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.