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Finding the Fourth Proportional to 5,830.90, 8,046.63 and 3,312.90

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Solution

The fourth proportional to 5,830.90, 8,046.63 and 3,312.90 is: 4,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.90 : 8,046.63 = 3,312.90 : x
  2. Step 2: Convert to fraction form
    5,830.90/8,046.63 = 3,312.90/x
  3. Step 3: Cross multiply
    5,830.90x = 8,046.63 × 3,312.90
  4. Step 4: Simplify right side
    5,830.90x = 26,657,680.53
  5. Step 5: Solve for x
    x = 26,657,680.53/5,830.90
  6. Step 6: Final answer
    x = 4,571.80

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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.