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Finding the Fourth Proportional to 4,913.96, 7,373.64 and 2,316.84

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Solution

The fourth proportional to 4,913.96, 7,373.64 and 2,316.84 is: 3,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.96 : 7,373.64 = 2,316.84 : x
  2. Step 2: Convert to fraction form
    4,913.96/7,373.64 = 2,316.84/x
  3. Step 3: Cross multiply
    4,913.96x = 7,373.64 × 2,316.84
  4. Step 4: Simplify right side
    4,913.96x = 17,083,544.10
  5. Step 5: Solve for x
    x = 17,083,544.10/4,913.96
  6. Step 6: Final answer
    x = 3,476.53

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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.