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Finding the Fourth Proportional to 4,547, 6,819 and 1,468.28

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Solution

The fourth proportional to 4,547, 6,819 and 1,468.28 is: 2,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547 : 6,819 = 1,468.28 : x
  2. Step 2: Convert to fraction form
    4,547/6,819 = 1,468.28/x
  3. Step 3: Cross multiply
    4,547x = 6,819 × 1,468.28
  4. Step 4: Simplify right side
    4,547x = 10,012,201.32
  5. Step 5: Solve for x
    x = 10,012,201.32/4,547
  6. Step 6: Final answer
    x = 2,201.94

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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.