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Finding the Fourth Proportional to 5,742.66, 7,925.18 and 3,503.88

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Solution

The fourth proportional to 5,742.66, 7,925.18 and 3,503.88 is: 4,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 7,925.18 = 3,503.88 : x
  2. Step 2: Convert to fraction form
    5,742.66/7,925.18 = 3,503.88/x
  3. Step 3: Cross multiply
    5,742.66x = 7,925.18 × 3,503.88
  4. Step 4: Simplify right side
    5,742.66x = 27,768,899.25
  5. Step 5: Solve for x
    x = 27,768,899.25/5,742.66
  6. Step 6: Final answer
    x = 4,835.55

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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.