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Finding the Fourth Proportional to 5,778.60, 7,974.54 and 3,126.06

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Solution

The fourth proportional to 5,778.60, 7,974.54 and 3,126.06 is: 4,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.60 : 7,974.54 = 3,126.06 : x
  2. Step 2: Convert to fraction form
    5,778.60/7,974.54 = 3,126.06/x
  3. Step 3: Cross multiply
    5,778.60x = 7,974.54 × 3,126.06
  4. Step 4: Simplify right side
    5,778.60x = 24,928,890.51
  5. Step 5: Solve for x
    x = 24,928,890.51/5,778.60
  6. Step 6: Final answer
    x = 4,314.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.