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Finding the Fourth Proportional to 4,341.26, 6,509.46 and 1,741.16

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Solution

The fourth proportional to 4,341.26, 6,509.46 and 1,741.16 is: 2,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.26 : 6,509.46 = 1,741.16 : x
  2. Step 2: Convert to fraction form
    4,341.26/6,509.46 = 1,741.16/x
  3. Step 3: Cross multiply
    4,341.26x = 6,509.46 × 1,741.16
  4. Step 4: Simplify right side
    4,341.26x = 11,334,011.37
  5. Step 5: Solve for x
    x = 11,334,011.37/4,341.26
  6. Step 6: Final answer
    x = 2,610.77

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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.