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Finding the Fourth Proportional to 5,606.90, 7,729.07 and 4,610.45

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Solution

The fourth proportional to 5,606.90, 7,729.07 and 4,610.45 is: 6,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.90 : 7,729.07 = 4,610.45 : x
  2. Step 2: Convert to fraction form
    5,606.90/7,729.07 = 4,610.45/x
  3. Step 3: Cross multiply
    5,606.90x = 7,729.07 × 4,610.45
  4. Step 4: Simplify right side
    5,606.90x = 35,634,490.78
  5. Step 5: Solve for x
    x = 35,634,490.78/5,606.90
  6. Step 6: Final answer
    x = 6,355.47

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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.