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Finding the Fourth Proportional to 5,720.76, 8,582.94 and 2,432.16

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Solution

The fourth proportional to 5,720.76, 8,582.94 and 2,432.16 is: 3,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.76 : 8,582.94 = 2,432.16 : x
  2. Step 2: Convert to fraction form
    5,720.76/8,582.94 = 2,432.16/x
  3. Step 3: Cross multiply
    5,720.76x = 8,582.94 × 2,432.16
  4. Step 4: Simplify right side
    5,720.76x = 20,875,083.35
  5. Step 5: Solve for x
    x = 20,875,083.35/5,720.76
  6. Step 6: Final answer
    x = 3,649.01

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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.