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Finding the Fourth Proportional to 3,656.48, 5,484.96 and 1,316.96

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Solution

The fourth proportional to 3,656.48, 5,484.96 and 1,316.96 is: 1,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.48 : 5,484.96 = 1,316.96 : x
  2. Step 2: Convert to fraction form
    3,656.48/5,484.96 = 1,316.96/x
  3. Step 3: Cross multiply
    3,656.48x = 5,484.96 × 1,316.96
  4. Step 4: Simplify right side
    3,656.48x = 7,223,472.92
  5. Step 5: Solve for x
    x = 7,223,472.92/3,656.48
  6. Step 6: Final answer
    x = 1,975.53

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1.5x scale

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.