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Finding the Fourth Proportional to 4,756.53, 6,556.43 and 3,746.64

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Solution

The fourth proportional to 4,756.53, 6,556.43 and 3,746.64 is: 5,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.53 : 6,556.43 = 3,746.64 : x
  2. Step 2: Convert to fraction form
    4,756.53/6,556.43 = 3,746.64/x
  3. Step 3: Cross multiply
    4,756.53x = 6,556.43 × 3,746.64
  4. Step 4: Simplify right side
    4,756.53x = 24,564,582.90
  5. Step 5: Solve for x
    x = 24,564,582.90/4,756.53
  6. Step 6: Final answer
    x = 5,164.39

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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.