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Finding the Fourth Proportional to 5,674.69, 8,503.26 and 2,897.47

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Solution

The fourth proportional to 5,674.69, 8,503.26 and 2,897.47 is: 4,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.69 : 8,503.26 = 2,897.47 : x
  2. Step 2: Convert to fraction form
    5,674.69/8,503.26 = 2,897.47/x
  3. Step 3: Cross multiply
    5,674.69x = 8,503.26 × 2,897.47
  4. Step 4: Simplify right side
    5,674.69x = 24,637,940.75
  5. Step 5: Solve for x
    x = 24,637,940.75/5,674.69
  6. Step 6: Final answer
    x = 4,341.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.