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Finding the Fourth Proportional to 4,627.42, 6,948.44 and 3,657.86

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Solution

The fourth proportional to 4,627.42, 6,948.44 and 3,657.86 is: 5,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.42 : 6,948.44 = 3,657.86 : x
  2. Step 2: Convert to fraction form
    4,627.42/6,948.44 = 3,657.86/x
  3. Step 3: Cross multiply
    4,627.42x = 6,948.44 × 3,657.86
  4. Step 4: Simplify right side
    4,627.42x = 25,416,420.74
  5. Step 5: Solve for x
    x = 25,416,420.74/4,627.42
  6. Step 6: Final answer
    x = 5,492.57

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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.