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Finding the Fourth Proportional to 5,742.24, 7,925.03 and 3,503.64

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Solution

The fourth proportional to 5,742.24, 7,925.03 and 3,503.64 is: 4,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.24 : 7,925.03 = 3,503.64 : x
  2. Step 2: Convert to fraction form
    5,742.24/7,925.03 = 3,503.64/x
  3. Step 3: Cross multiply
    5,742.24x = 7,925.03 × 3,503.64
  4. Step 4: Simplify right side
    5,742.24x = 27,766,461.38
  5. Step 5: Solve for x
    x = 27,766,461.38/5,742.24
  6. Step 6: Final answer
    x = 4,835.47

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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.