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Finding the Fourth Proportional to 4,897.68, 7,333.40 and 4,120.08

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Solution

The fourth proportional to 4,897.68, 7,333.40 and 4,120.08 is: 6,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.68 : 7,333.40 = 4,120.08 : x
  2. Step 2: Convert to fraction form
    4,897.68/7,333.40 = 4,120.08/x
  3. Step 3: Cross multiply
    4,897.68x = 7,333.40 × 4,120.08
  4. Step 4: Simplify right side
    4,897.68x = 30,214,194.67
  5. Step 5: Solve for x
    x = 30,214,194.67/4,897.68
  6. Step 6: Final answer
    x = 6,169.08

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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.