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Finding the Fourth Proportional to 4,551.66, 6,827.49 and 1,264.77

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Solution

The fourth proportional to 4,551.66, 6,827.49 and 1,264.77 is: 1,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.66 : 6,827.49 = 1,264.77 : x
  2. Step 2: Convert to fraction form
    4,551.66/6,827.49 = 1,264.77/x
  3. Step 3: Cross multiply
    4,551.66x = 6,827.49 × 1,264.77
  4. Step 4: Simplify right side
    4,551.66x = 8,635,204.53
  5. Step 5: Solve for x
    x = 8,635,204.53/4,551.66
  6. Step 6: Final answer
    x = 1,897.16

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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.