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Finding the Fourth Proportional to 4,385.76, 6,578.69 and 1,464.06

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Solution

The fourth proportional to 4,385.76, 6,578.69 and 1,464.06 is: 2,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.76 : 6,578.69 = 1,464.06 : x
  2. Step 2: Convert to fraction form
    4,385.76/6,578.69 = 1,464.06/x
  3. Step 3: Cross multiply
    4,385.76x = 6,578.69 × 1,464.06
  4. Step 4: Simplify right side
    4,385.76x = 9,631,580.43
  5. Step 5: Solve for x
    x = 9,631,580.43/4,385.76
  6. Step 6: Final answer
    x = 2,196.11

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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.