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Finding the Fourth Proportional to 4,538.16, 6,800.90 and 2,459.30

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Solution

The fourth proportional to 4,538.16, 6,800.90 and 2,459.30 is: 3,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.16 : 6,800.90 = 2,459.30 : x
  2. Step 2: Convert to fraction form
    4,538.16/6,800.90 = 2,459.30/x
  3. Step 3: Cross multiply
    4,538.16x = 6,800.90 × 2,459.30
  4. Step 4: Simplify right side
    4,538.16x = 16,725,407.07
  5. Step 5: Solve for x
    x = 16,725,407.07/4,538.16
  6. Step 6: Final answer
    x = 3,685.50

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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.