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Finding the Fourth Proportional to 5,674.47, 8,511.68 and 1,457.72

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Solution

The fourth proportional to 5,674.47, 8,511.68 and 1,457.72 is: 2,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.47 : 8,511.68 = 1,457.72 : x
  2. Step 2: Convert to fraction form
    5,674.47/8,511.68 = 1,457.72/x
  3. Step 3: Cross multiply
    5,674.47x = 8,511.68 × 1,457.72
  4. Step 4: Simplify right side
    5,674.47x = 12,407,630.06
  5. Step 5: Solve for x
    x = 12,407,630.06/5,674.47
  6. Step 6: Final answer
    x = 2,186.57

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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.