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Finding the Fourth Proportional to 5,608.64, 8,402.64 and 4,731.44

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Solution

The fourth proportional to 5,608.64, 8,402.64 and 4,731.44 is: 7,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.64 : 8,402.64 = 4,731.44 : x
  2. Step 2: Convert to fraction form
    5,608.64/8,402.64 = 4,731.44/x
  3. Step 3: Cross multiply
    5,608.64x = 8,402.64 × 4,731.44
  4. Step 4: Simplify right side
    5,608.64x = 39,756,587.00
  5. Step 5: Solve for x
    x = 39,756,587.00/5,608.64
  6. Step 6: Final answer
    x = 7,088.45

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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.