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Finding the Fourth Proportional to 3,136.80, 4,702.08 and 1,572.04

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Solution

The fourth proportional to 3,136.80, 4,702.08 and 1,572.04 is: 2,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.80 : 4,702.08 = 1,572.04 : x
  2. Step 2: Convert to fraction form
    3,136.80/4,702.08 = 1,572.04/x
  3. Step 3: Cross multiply
    3,136.80x = 4,702.08 × 1,572.04
  4. Step 4: Simplify right side
    3,136.80x = 7,391,857.84
  5. Step 5: Solve for x
    x = 7,391,857.84/3,136.80
  6. Step 6: Final answer
    x = 2,356.50

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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.