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Finding the Fourth Proportional to 3,457.69, 5,186.48 and 1,607.77

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Solution

The fourth proportional to 3,457.69, 5,186.48 and 1,607.77 is: 2,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 5,186.48 = 1,607.77 : x
  2. Step 2: Convert to fraction form
    3,457.69/5,186.48 = 1,607.77/x
  3. Step 3: Cross multiply
    3,457.69x = 5,186.48 × 1,607.77
  4. Step 4: Simplify right side
    3,457.69x = 8,338,645.26
  5. Step 5: Solve for x
    x = 8,338,645.26/3,457.69
  6. Step 6: Final answer
    x = 2,411.62

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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.