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Finding the Fourth Proportional to 5,798.84, 8,003.62 and 3,702.60

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Solution

The fourth proportional to 5,798.84, 8,003.62 and 3,702.60 is: 5,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.84 : 8,003.62 = 3,702.60 : x
  2. Step 2: Convert to fraction form
    5,798.84/8,003.62 = 3,702.60/x
  3. Step 3: Cross multiply
    5,798.84x = 8,003.62 × 3,702.60
  4. Step 4: Simplify right side
    5,798.84x = 29,634,203.41
  5. Step 5: Solve for x
    x = 29,634,203.41/5,798.84
  6. Step 6: Final answer
    x = 5,110.37

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1.5x scale

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.