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Finding the Fourth Proportional to 5,780.54, 7,977.14 and 3,263.16

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Solution

The fourth proportional to 5,780.54, 7,977.14 and 3,263.16 is: 4,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.54 : 7,977.14 = 3,263.16 : x
  2. Step 2: Convert to fraction form
    5,780.54/7,977.14 = 3,263.16/x
  3. Step 3: Cross multiply
    5,780.54x = 7,977.14 × 3,263.16
  4. Step 4: Simplify right side
    5,780.54x = 26,030,684.16
  5. Step 5: Solve for x
    x = 26,030,684.16/5,780.54
  6. Step 6: Final answer
    x = 4,503.16

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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.