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Finding the Fourth Proportional to 4,384.75, 6,576.15 and 1,264.07

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Solution

The fourth proportional to 4,384.75, 6,576.15 and 1,264.07 is: 1,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.75 : 6,576.15 = 1,264.07 : x
  2. Step 2: Convert to fraction form
    4,384.75/6,576.15 = 1,264.07/x
  3. Step 3: Cross multiply
    4,384.75x = 6,576.15 × 1,264.07
  4. Step 4: Simplify right side
    4,384.75x = 8,312,681.05
  5. Step 5: Solve for x
    x = 8,312,681.05/4,384.75
  6. Step 6: Final answer
    x = 1,895.82

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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.