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Finding the Fourth Proportional to 3,389.56, 4,677.60 and 1,897.47

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Solution

The fourth proportional to 3,389.56, 4,677.60 and 1,897.47 is: 2,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.56 : 4,677.60 = 1,897.47 : x
  2. Step 2: Convert to fraction form
    3,389.56/4,677.60 = 1,897.47/x
  3. Step 3: Cross multiply
    3,389.56x = 4,677.60 × 1,897.47
  4. Step 4: Simplify right side
    3,389.56x = 8,875,596.18
  5. Step 5: Solve for x
    x = 8,875,596.18/3,389.56
  6. Step 6: Final answer
    x = 2,618.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.