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Finding the Fourth Proportional to 3,655.14, 5,483.25 and 1,057.74

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Solution

The fourth proportional to 3,655.14, 5,483.25 and 1,057.74 is: 1,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.14 : 5,483.25 = 1,057.74 : x
  2. Step 2: Convert to fraction form
    3,655.14/5,483.25 = 1,057.74/x
  3. Step 3: Cross multiply
    3,655.14x = 5,483.25 × 1,057.74
  4. Step 4: Simplify right side
    3,655.14x = 5,799,852.86
  5. Step 5: Solve for x
    x = 5,799,852.86/3,655.14
  6. Step 6: Final answer
    x = 1,586.77

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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.