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Finding the Fourth Proportional to 4,600, 6,897.12 and 3,038.08

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Solution

The fourth proportional to 4,600, 6,897.12 and 3,038.08 is: 4,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600 : 6,897.12 = 3,038.08 : x
  2. Step 2: Convert to fraction form
    4,600/6,897.12 = 3,038.08/x
  3. Step 3: Cross multiply
    4,600x = 6,897.12 × 3,038.08
  4. Step 4: Simplify right side
    4,600x = 20,954,002.33
  5. Step 5: Solve for x
    x = 20,954,002.33/4,600
  6. Step 6: Final answer
    x = 4,555.22

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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.