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Finding the Fourth Proportional to 3,702.17, 5,554.63 and 1,728.91

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Solution

The fourth proportional to 3,702.17, 5,554.63 and 1,728.91 is: 2,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.17 : 5,554.63 = 1,728.91 : x
  2. Step 2: Convert to fraction form
    3,702.17/5,554.63 = 1,728.91/x
  3. Step 3: Cross multiply
    3,702.17x = 5,554.63 × 1,728.91
  4. Step 4: Simplify right side
    3,702.17x = 9,603,464.46
  5. Step 5: Solve for x
    x = 9,603,464.46/3,702.17
  6. Step 6: Final answer
    x = 2,594.01

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1.5x scale

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.