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Finding the Fourth Proportional to 4,972.86, 7,465.64 and 3,101.63

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Solution

The fourth proportional to 4,972.86, 7,465.64 and 3,101.63 is: 4,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.86 : 7,465.64 = 3,101.63 : x
  2. Step 2: Convert to fraction form
    4,972.86/7,465.64 = 3,101.63/x
  3. Step 3: Cross multiply
    4,972.86x = 7,465.64 × 3,101.63
  4. Step 4: Simplify right side
    4,972.86x = 23,155,600.16
  5. Step 5: Solve for x
    x = 23,155,600.16/4,972.86
  6. Step 6: Final answer
    x = 4,656.39

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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.