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Finding the Fourth Proportional to 4,700.46, 7,051.59 and 2,103.39

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Solution

The fourth proportional to 4,700.46, 7,051.59 and 2,103.39 is: 3,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.46 : 7,051.59 = 2,103.39 : x
  2. Step 2: Convert to fraction form
    4,700.46/7,051.59 = 2,103.39/x
  3. Step 3: Cross multiply
    4,700.46x = 7,051.59 × 2,103.39
  4. Step 4: Simplify right side
    4,700.46x = 14,832,243.89
  5. Step 5: Solve for x
    x = 14,832,243.89/4,700.46
  6. Step 6: Final answer
    x = 3,155.49

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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.