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Finding the Fourth Proportional to 4,700.49, 6,486.75 and 2,575.98

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Solution

The fourth proportional to 4,700.49, 6,486.75 and 2,575.98 is: 3,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.49 : 6,486.75 = 2,575.98 : x
  2. Step 2: Convert to fraction form
    4,700.49/6,486.75 = 2,575.98/x
  3. Step 3: Cross multiply
    4,700.49x = 6,486.75 × 2,575.98
  4. Step 4: Simplify right side
    4,700.49x = 16,709,738.27
  5. Step 5: Solve for x
    x = 16,709,738.27/4,700.49
  6. Step 6: Final answer
    x = 3,554.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.