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Finding the Fourth Proportional to 4,897.94, 7,330.50 and 4,832.33

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Solution

The fourth proportional to 4,897.94, 7,330.50 and 4,832.33 is: 7,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.94 : 7,330.50 = 4,832.33 : x
  2. Step 2: Convert to fraction form
    4,897.94/7,330.50 = 4,832.33/x
  3. Step 3: Cross multiply
    4,897.94x = 7,330.50 × 4,832.33
  4. Step 4: Simplify right side
    4,897.94x = 35,423,358.41
  5. Step 5: Solve for x
    x = 35,423,358.41/4,897.94
  6. Step 6: Final answer
    x = 7,232.30

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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.