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Finding the Fourth Proportional to 4,897.16, 6,758.39 and 2,983.68

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Solution

The fourth proportional to 4,897.16, 6,758.39 and 2,983.68 is: 4,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.16 : 6,758.39 = 2,983.68 : x
  2. Step 2: Convert to fraction form
    4,897.16/6,758.39 = 2,983.68/x
  3. Step 3: Cross multiply
    4,897.16x = 6,758.39 × 2,983.68
  4. Step 4: Simplify right side
    4,897.16x = 20,164,880.53
  5. Step 5: Solve for x
    x = 20,164,880.53/4,897.16
  6. Step 6: Final answer
    x = 4,117.67

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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.