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Finding the Fourth Proportional to 5,806.34, 8,012.64 and 3,288.42

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Solution

The fourth proportional to 5,806.34, 8,012.64 and 3,288.42 is: 4,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.34 : 8,012.64 = 3,288.42 : x
  2. Step 2: Convert to fraction form
    5,806.34/8,012.64 = 3,288.42/x
  3. Step 3: Cross multiply
    5,806.34x = 8,012.64 × 3,288.42
  4. Step 4: Simplify right side
    5,806.34x = 26,348,925.63
  5. Step 5: Solve for x
    x = 26,348,925.63/5,806.34
  6. Step 6: Final answer
    x = 4,537.96

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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.