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Finding the Fourth Proportional to 5,702.94, 8,552.94 and 1,807.38

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Solution

The fourth proportional to 5,702.94, 8,552.94 and 1,807.38 is: 2,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.94 : 8,552.94 = 1,807.38 : x
  2. Step 2: Convert to fraction form
    5,702.94/8,552.94 = 1,807.38/x
  3. Step 3: Cross multiply
    5,702.94x = 8,552.94 × 1,807.38
  4. Step 4: Simplify right side
    5,702.94x = 15,458,412.70
  5. Step 5: Solve for x
    x = 15,458,412.70/5,702.94
  6. Step 6: Final answer
    x = 2,710.60

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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.