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Finding the Fourth Proportional to 5,662.96, 8,508.80 and 3,583.95

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Solution

The fourth proportional to 5,662.96, 8,508.80 and 3,583.95 is: 5,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.96 : 8,508.80 = 3,583.95 : x
  2. Step 2: Convert to fraction form
    5,662.96/8,508.80 = 3,583.95/x
  3. Step 3: Cross multiply
    5,662.96x = 8,508.80 × 3,583.95
  4. Step 4: Simplify right side
    5,662.96x = 30,495,070.65
  5. Step 5: Solve for x
    x = 30,495,070.65/5,662.96
  6. Step 6: Final answer
    x = 5,385.00

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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.