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Finding the Fourth Proportional to 3,378.96, 5,070.71 and 1,187.70

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Solution

The fourth proportional to 3,378.96, 5,070.71 and 1,187.70 is: 1,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.96 : 5,070.71 = 1,187.70 : x
  2. Step 2: Convert to fraction form
    3,378.96/5,070.71 = 1,187.70/x
  3. Step 3: Cross multiply
    3,378.96x = 5,070.71 × 1,187.70
  4. Step 4: Simplify right side
    3,378.96x = 6,022,482.27
  5. Step 5: Solve for x
    x = 6,022,482.27/3,378.96
  6. Step 6: Final answer
    x = 1,782.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.