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Finding the Fourth Proportional to 4,140.90, 6,210.64 and 1,675.75

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Solution

The fourth proportional to 4,140.90, 6,210.64 and 1,675.75 is: 2,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.90 : 6,210.64 = 1,675.75 : x
  2. Step 2: Convert to fraction form
    4,140.90/6,210.64 = 1,675.75/x
  3. Step 3: Cross multiply
    4,140.90x = 6,210.64 × 1,675.75
  4. Step 4: Simplify right side
    4,140.90x = 10,407,479.98
  5. Step 5: Solve for x
    x = 10,407,479.98/4,140.90
  6. Step 6: Final answer
    x = 2,513.34

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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.