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Finding the Fourth Proportional to 4,931.08, 7,385.65 and 4,546.94

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Solution

The fourth proportional to 4,931.08, 7,385.65 and 4,546.94 is: 6,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.08 : 7,385.65 = 4,546.94 : x
  2. Step 2: Convert to fraction form
    4,931.08/7,385.65 = 4,546.94/x
  3. Step 3: Cross multiply
    4,931.08x = 7,385.65 × 4,546.94
  4. Step 4: Simplify right side
    4,931.08x = 33,582,059.12
  5. Step 5: Solve for x
    x = 33,582,059.12/4,931.08
  6. Step 6: Final answer
    x = 6,810.29

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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.