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Finding the Fourth Proportional to 5,775.55, 7,978.16 and 4,465.78

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Solution

The fourth proportional to 5,775.55, 7,978.16 and 4,465.78 is: 6,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.55 : 7,978.16 = 4,465.78 : x
  2. Step 2: Convert to fraction form
    5,775.55/7,978.16 = 4,465.78/x
  3. Step 3: Cross multiply
    5,775.55x = 7,978.16 × 4,465.78
  4. Step 4: Simplify right side
    5,775.55x = 35,628,698.58
  5. Step 5: Solve for x
    x = 35,628,698.58/5,775.55
  6. Step 6: Final answer
    x = 6,168.89

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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.