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Finding the Fourth Proportional to 4,497.10, 6,741.03 and 1,723.06

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Solution

The fourth proportional to 4,497.10, 6,741.03 and 1,723.06 is: 2,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.10 : 6,741.03 = 1,723.06 : x
  2. Step 2: Convert to fraction form
    4,497.10/6,741.03 = 1,723.06/x
  3. Step 3: Cross multiply
    4,497.10x = 6,741.03 × 1,723.06
  4. Step 4: Simplify right side
    4,497.10x = 11,615,165.45
  5. Step 5: Solve for x
    x = 11,615,165.45/4,497.10
  6. Step 6: Final answer
    x = 2,582.82

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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.