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Finding the Fourth Proportional to 3,702.66, 5,111.46 and 2,529.84

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Solution

The fourth proportional to 3,702.66, 5,111.46 and 2,529.84 is: 3,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.66 : 5,111.46 = 2,529.84 : x
  2. Step 2: Convert to fraction form
    3,702.66/5,111.46 = 2,529.84/x
  3. Step 3: Cross multiply
    3,702.66x = 5,111.46 × 2,529.84
  4. Step 4: Simplify right side
    3,702.66x = 12,931,175.97
  5. Step 5: Solve for x
    x = 12,931,175.97/3,702.66
  6. Step 6: Final answer
    x = 3,492.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.