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Finding the Fourth Proportional to 6,154.80, 8,493.75 and 3,502.14

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Solution

The fourth proportional to 6,154.80, 8,493.75 and 3,502.14 is: 4,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.80 : 8,493.75 = 3,502.14 : x
  2. Step 2: Convert to fraction form
    6,154.80/8,493.75 = 3,502.14/x
  3. Step 3: Cross multiply
    6,154.80x = 8,493.75 × 3,502.14
  4. Step 4: Simplify right side
    6,154.80x = 29,746,301.63
  5. Step 5: Solve for x
    x = 29,746,301.63/6,154.80
  6. Step 6: Final answer
    x = 4,833.02

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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.