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Finding the Fourth Proportional to 5,164.48, 7,746.72 and 1,268.96

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Solution

The fourth proportional to 5,164.48, 7,746.72 and 1,268.96 is: 1,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.48 : 7,746.72 = 1,268.96 : x
  2. Step 2: Convert to fraction form
    5,164.48/7,746.72 = 1,268.96/x
  3. Step 3: Cross multiply
    5,164.48x = 7,746.72 × 1,268.96
  4. Step 4: Simplify right side
    5,164.48x = 9,830,277.81
  5. Step 5: Solve for x
    x = 9,830,277.81/5,164.48
  6. Step 6: Final answer
    x = 1,903.44

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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.