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Finding the Fourth Proportional to 5,906.64, 8,851.64 and 4,602.32

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Solution

The fourth proportional to 5,906.64, 8,851.64 and 4,602.32 is: 6,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.64 : 8,851.64 = 4,602.32 : x
  2. Step 2: Convert to fraction form
    5,906.64/8,851.64 = 4,602.32/x
  3. Step 3: Cross multiply
    5,906.64x = 8,851.64 × 4,602.32
  4. Step 4: Simplify right side
    5,906.64x = 40,738,079.80
  5. Step 5: Solve for x
    x = 40,738,079.80/5,906.64
  6. Step 6: Final answer
    x = 6,897.00

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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.