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Finding the Fourth Proportional to 5,729.30, 8,038.30 and 5,729.30

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Solution

The fourth proportional to 5,729.30, 8,038.30 and 5,729.30 is: 8,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.30 : 8,038.30 = 5,729.30 : x
  2. Step 2: Convert to fraction form
    5,729.30/8,038.30 = 5,729.30/x
  3. Step 3: Cross multiply
    5,729.30x = 8,038.30 × 5,729.30
  4. Step 4: Simplify right side
    5,729.30x = 46,053,832.19
  5. Step 5: Solve for x
    x = 46,053,832.19/5,729.30
  6. Step 6: Final answer
    x = 8,038.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.