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Finding the Fourth Proportional to 4,744.68, 7,114.08 and 1,973.28

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Solution

The fourth proportional to 4,744.68, 7,114.08 and 1,973.28 is: 2,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.68 : 7,114.08 = 1,973.28 : x
  2. Step 2: Convert to fraction form
    4,744.68/7,114.08 = 1,973.28/x
  3. Step 3: Cross multiply
    4,744.68x = 7,114.08 × 1,973.28
  4. Step 4: Simplify right side
    4,744.68x = 14,038,071.78
  5. Step 5: Solve for x
    x = 14,038,071.78/4,744.68
  6. Step 6: Final answer
    x = 2,958.70

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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.