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Finding the Fourth Proportional to 4,897.01, 7,343.96 and 1,609.34

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Solution

The fourth proportional to 4,897.01, 7,343.96 and 1,609.34 is: 2,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.01 : 7,343.96 = 1,609.34 : x
  2. Step 2: Convert to fraction form
    4,897.01/7,343.96 = 1,609.34/x
  3. Step 3: Cross multiply
    4,897.01x = 7,343.96 × 1,609.34
  4. Step 4: Simplify right side
    4,897.01x = 11,818,938.90
  5. Step 5: Solve for x
    x = 11,818,938.90/4,897.01
  6. Step 6: Final answer
    x = 2,413.50

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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.