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Finding the Fourth Proportional to 5,897.90, 8,838.98 and 2,196.40

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Solution

The fourth proportional to 5,897.90, 8,838.98 and 2,196.40 is: 3,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.90 : 8,838.98 = 2,196.40 : x
  2. Step 2: Convert to fraction form
    5,897.90/8,838.98 = 2,196.40/x
  3. Step 3: Cross multiply
    5,897.90x = 8,838.98 × 2,196.40
  4. Step 4: Simplify right side
    5,897.90x = 19,413,933.58
  5. Step 5: Solve for x
    x = 19,413,933.58/5,897.90
  6. Step 6: Final answer
    x = 3,291.67

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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.