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Finding the Fourth Proportional to 4,343.56, 6,515.98 and 1,746.34

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Solution

The fourth proportional to 4,343.56, 6,515.98 and 1,746.34 is: 2,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.56 : 6,515.98 = 1,746.34 : x
  2. Step 2: Convert to fraction form
    4,343.56/6,515.98 = 1,746.34/x
  3. Step 3: Cross multiply
    4,343.56x = 6,515.98 × 1,746.34
  4. Step 4: Simplify right side
    4,343.56x = 11,379,116.51
  5. Step 5: Solve for x
    x = 11,379,116.51/4,343.56
  6. Step 6: Final answer
    x = 2,619.77

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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.