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Finding the Fourth Proportional to 3,637.84, 5,457.30 and 1,297.66

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Solution

The fourth proportional to 3,637.84, 5,457.30 and 1,297.66 is: 1,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.84 : 5,457.30 = 1,297.66 : x
  2. Step 2: Convert to fraction form
    3,637.84/5,457.30 = 1,297.66/x
  3. Step 3: Cross multiply
    3,637.84x = 5,457.30 × 1,297.66
  4. Step 4: Simplify right side
    3,637.84x = 7,081,719.92
  5. Step 5: Solve for x
    x = 7,081,719.92/3,637.84
  6. Step 6: Final answer
    x = 1,946.68

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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.