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Finding the Fourth Proportional to 4,712.46, 6,501.06 and 3,033.26

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Solution

The fourth proportional to 4,712.46, 6,501.06 and 3,033.26 is: 4,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.46 : 6,501.06 = 3,033.26 : x
  2. Step 2: Convert to fraction form
    4,712.46/6,501.06 = 3,033.26/x
  3. Step 3: Cross multiply
    4,712.46x = 6,501.06 × 3,033.26
  4. Step 4: Simplify right side
    4,712.46x = 19,719,405.26
  5. Step 5: Solve for x
    x = 19,719,405.26/4,712.46
  6. Step 6: Final answer
    x = 4,184.52

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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.