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Finding the Fourth Proportional to 5,085.63, 7,628.65 and 1,576.00

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Solution

The fourth proportional to 5,085.63, 7,628.65 and 1,576.00 is: 2,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.63 : 7,628.65 = 1,576.00 : x
  2. Step 2: Convert to fraction form
    5,085.63/7,628.65 = 1,576.00/x
  3. Step 3: Cross multiply
    5,085.63x = 7,628.65 × 1,576.00
  4. Step 4: Simplify right side
    5,085.63x = 12,022,758.00
  5. Step 5: Solve for x
    x = 12,022,758.00/5,085.63
  6. Step 6: Final answer
    x = 2,364.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.