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Finding the Fourth Proportional to 4,777.50, 6,592.98 and 2,681.63

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Solution

The fourth proportional to 4,777.50, 6,592.98 and 2,681.63 is: 3,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.50 : 6,592.98 = 2,681.63 : x
  2. Step 2: Convert to fraction form
    4,777.50/6,592.98 = 2,681.63/x
  3. Step 3: Cross multiply
    4,777.50x = 6,592.98 × 2,681.63
  4. Step 4: Simplify right side
    4,777.50x = 17,679,932.96
  5. Step 5: Solve for x
    x = 17,679,932.96/4,777.50
  6. Step 6: Final answer
    x = 3,700.67

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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.