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Finding the Fourth Proportional to 5,702, 8,555.04 and 2,582.72

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Solution

The fourth proportional to 5,702, 8,555.04 and 2,582.72 is: 3,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 8,555.04 = 2,582.72 : x
  2. Step 2: Convert to fraction form
    5,702/8,555.04 = 2,582.72/x
  3. Step 3: Cross multiply
    5,702x = 8,555.04 × 2,582.72
  4. Step 4: Simplify right side
    5,702x = 22,095,272.91
  5. Step 5: Solve for x
    x = 22,095,272.91/5,702
  6. Step 6: Final answer
    x = 3,875.00

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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.