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Finding the Fourth Proportional to 5,729.34, 7,883.58 and 5,558.16

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Solution

The fourth proportional to 5,729.34, 7,883.58 and 5,558.16 is: 7,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.34 : 7,883.58 = 5,558.16 : x
  2. Step 2: Convert to fraction form
    5,729.34/7,883.58 = 5,558.16/x
  3. Step 3: Cross multiply
    5,729.34x = 7,883.58 × 5,558.16
  4. Step 4: Simplify right side
    5,729.34x = 43,818,199.01
  5. Step 5: Solve for x
    x = 43,818,199.01/5,729.34
  6. Step 6: Final answer
    x = 7,648.04

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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.