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Finding the Fourth Proportional to 3,637.59, 5,457.18 and 2,078.34

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Solution

The fourth proportional to 3,637.59, 5,457.18 and 2,078.34 is: 3,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.59 : 5,457.18 = 2,078.34 : x
  2. Step 2: Convert to fraction form
    3,637.59/5,457.18 = 2,078.34/x
  3. Step 3: Cross multiply
    3,637.59x = 5,457.18 × 2,078.34
  4. Step 4: Simplify right side
    3,637.59x = 11,341,875.48
  5. Step 5: Solve for x
    x = 11,341,875.48/3,637.59
  6. Step 6: Final answer
    x = 3,117.96

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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.