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Finding the Fourth Proportional to 4,191.59, 5,784.59 and 2,423.36

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Solution

The fourth proportional to 4,191.59, 5,784.59 and 2,423.36 is: 3,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.59 : 5,784.59 = 2,423.36 : x
  2. Step 2: Convert to fraction form
    4,191.59/5,784.59 = 2,423.36/x
  3. Step 3: Cross multiply
    4,191.59x = 5,784.59 × 2,423.36
  4. Step 4: Simplify right side
    4,191.59x = 14,018,121.16
  5. Step 5: Solve for x
    x = 14,018,121.16/4,191.59
  6. Step 6: Final answer
    x = 3,344.35

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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.