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Finding the Fourth Proportional to 5,822.42, 8,038.50 and 4,328.60

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Solution

The fourth proportional to 5,822.42, 8,038.50 and 4,328.60 is: 5,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.42 : 8,038.50 = 4,328.60 : x
  2. Step 2: Convert to fraction form
    5,822.42/8,038.50 = 4,328.60/x
  3. Step 3: Cross multiply
    5,822.42x = 8,038.50 × 4,328.60
  4. Step 4: Simplify right side
    5,822.42x = 34,795,451.10
  5. Step 5: Solve for x
    x = 34,795,451.10/5,822.42
  6. Step 6: Final answer
    x = 5,976.11

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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.