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Finding the Fourth Proportional to 3,657, 5,484.89 and 1,316.53

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Solution

The fourth proportional to 3,657, 5,484.89 and 1,316.53 is: 1,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657 : 5,484.89 = 1,316.53 : x
  2. Step 2: Convert to fraction form
    3,657/5,484.89 = 1,316.53/x
  3. Step 3: Cross multiply
    3,657x = 5,484.89 × 1,316.53
  4. Step 4: Simplify right side
    3,657x = 7,221,022.23
  5. Step 5: Solve for x
    x = 7,221,022.23/3,657
  6. Step 6: Final answer
    x = 1,974.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.