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Finding the Fourth Proportional to 5,730.88, 8,583.32 and 4,694.08

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Solution

The fourth proportional to 5,730.88, 8,583.32 and 4,694.08 is: 7,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.88 : 8,583.32 = 4,694.08 : x
  2. Step 2: Convert to fraction form
    5,730.88/8,583.32 = 4,694.08/x
  3. Step 3: Cross multiply
    5,730.88x = 8,583.32 × 4,694.08
  4. Step 4: Simplify right side
    5,730.88x = 40,290,790.75
  5. Step 5: Solve for x
    x = 40,290,790.75/5,730.88
  6. Step 6: Final answer
    x = 7,030.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.