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Finding the Fourth Proportional to 4,734.04, 6,534.50 and 3,054.14

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Solution

The fourth proportional to 4,734.04, 6,534.50 and 3,054.14 is: 4,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.04 : 6,534.50 = 3,054.14 : x
  2. Step 2: Convert to fraction form
    4,734.04/6,534.50 = 3,054.14/x
  3. Step 3: Cross multiply
    4,734.04x = 6,534.50 × 3,054.14
  4. Step 4: Simplify right side
    4,734.04x = 19,957,277.83
  5. Step 5: Solve for x
    x = 19,957,277.83/4,734.04
  6. Step 6: Final answer
    x = 4,215.70

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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.