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Finding the Fourth Proportional to 4,700.34, 6,486.46 and 2,576.00

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Solution

The fourth proportional to 4,700.34, 6,486.46 and 2,576.00 is: 3,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.34 : 6,486.46 = 2,576.00 : x
  2. Step 2: Convert to fraction form
    4,700.34/6,486.46 = 2,576.00/x
  3. Step 3: Cross multiply
    4,700.34x = 6,486.46 × 2,576.00
  4. Step 4: Simplify right side
    4,700.34x = 16,709,130.74
  5. Step 5: Solve for x
    x = 16,709,130.74/4,700.34
  6. Step 6: Final answer
    x = 3,554.88

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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.