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Finding the Fourth Proportional to 4,907.47, 6,774.55 and 3,228.95

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Solution

The fourth proportional to 4,907.47, 6,774.55 and 3,228.95 is: 4,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.47 : 6,774.55 = 3,228.95 : x
  2. Step 2: Convert to fraction form
    4,907.47/6,774.55 = 3,228.95/x
  3. Step 3: Cross multiply
    4,907.47x = 6,774.55 × 3,228.95
  4. Step 4: Simplify right side
    4,907.47x = 21,874,683.22
  5. Step 5: Solve for x
    x = 21,874,683.22/4,907.47
  6. Step 6: Final answer
    x = 4,457.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.