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Finding the Fourth Proportional to 5,746.14, 8,620.14 and 2,459.28

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Solution

The fourth proportional to 5,746.14, 8,620.14 and 2,459.28 is: 3,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.14 : 8,620.14 = 2,459.28 : x
  2. Step 2: Convert to fraction form
    5,746.14/8,620.14 = 2,459.28/x
  3. Step 3: Cross multiply
    5,746.14x = 8,620.14 × 2,459.28
  4. Step 4: Simplify right side
    5,746.14x = 21,199,337.90
  5. Step 5: Solve for x
    x = 21,199,337.90/5,746.14
  6. Step 6: Final answer
    x = 3,689.32

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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.