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Finding the Fourth Proportional to 4,552.61, 6,827.63 and 1,264.95

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Solution

The fourth proportional to 4,552.61, 6,827.63 and 1,264.95 is: 1,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.61 : 6,827.63 = 1,264.95 : x
  2. Step 2: Convert to fraction form
    4,552.61/6,827.63 = 1,264.95/x
  3. Step 3: Cross multiply
    4,552.61x = 6,827.63 × 1,264.95
  4. Step 4: Simplify right side
    4,552.61x = 8,636,604.24
  5. Step 5: Solve for x
    x = 8,636,604.24/4,552.61
  6. Step 6: Final answer
    x = 1,897.07

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Why These Related Problems?

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