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Finding the Fourth Proportional to 4,700.09, 6,486.10 and 2,575.64

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Solution

The fourth proportional to 4,700.09, 6,486.10 and 2,575.64 is: 3,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.09 : 6,486.10 = 2,575.64 : x
  2. Step 2: Convert to fraction form
    4,700.09/6,486.10 = 2,575.64/x
  3. Step 3: Cross multiply
    4,700.09x = 6,486.10 × 2,575.64
  4. Step 4: Simplify right side
    4,700.09x = 16,705,868.38
  5. Step 5: Solve for x
    x = 16,705,868.38/4,700.09
  6. Step 6: Final answer
    x = 3,554.37

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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.