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Finding the Fourth Proportional to 5,763.60, 7,953.88 and 3,405.74

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Solution

The fourth proportional to 5,763.60, 7,953.88 and 3,405.74 is: 4,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.60 : 7,953.88 = 3,405.74 : x
  2. Step 2: Convert to fraction form
    5,763.60/7,953.88 = 3,405.74/x
  3. Step 3: Cross multiply
    5,763.60x = 7,953.88 × 3,405.74
  4. Step 4: Simplify right side
    5,763.60x = 27,088,847.27
  5. Step 5: Solve for x
    x = 27,088,847.27/5,763.60
  6. Step 6: Final answer
    x = 4,699.99

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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.