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Finding the Fourth Proportional to 4,125.60, 5,689.28 and 3,784.11

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Solution

The fourth proportional to 4,125.60, 5,689.28 and 3,784.11 is: 5,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.60 : 5,689.28 = 3,784.11 : x
  2. Step 2: Convert to fraction form
    4,125.60/5,689.28 = 3,784.11/x
  3. Step 3: Cross multiply
    4,125.60x = 5,689.28 × 3,784.11
  4. Step 4: Simplify right side
    4,125.60x = 21,528,842.42
  5. Step 5: Solve for x
    x = 21,528,842.42/4,125.60
  6. Step 6: Final answer
    x = 5,218.35

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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.