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Finding the Fourth Proportional to 5,461.12, 7,536 and 3,600.64

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Solution

The fourth proportional to 5,461.12, 7,536 and 3,600.64 is: 4,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.12 : 7,536 = 3,600.64 : x
  2. Step 2: Convert to fraction form
    5,461.12/7,536 = 3,600.64/x
  3. Step 3: Cross multiply
    5,461.12x = 7,536 × 3,600.64
  4. Step 4: Simplify right side
    5,461.12x = 27,134,423.04
  5. Step 5: Solve for x
    x = 27,134,423.04/5,461.12
  6. Step 6: Final answer
    x = 4,968.66

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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.