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Finding the Fourth Proportional to 4,761.63, 7,141.50 and 1,473.93

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Solution

The fourth proportional to 4,761.63, 7,141.50 and 1,473.93 is: 2,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.63 : 7,141.50 = 1,473.93 : x
  2. Step 2: Convert to fraction form
    4,761.63/7,141.50 = 1,473.93/x
  3. Step 3: Cross multiply
    4,761.63x = 7,141.50 × 1,473.93
  4. Step 4: Simplify right side
    4,761.63x = 10,526,071.10
  5. Step 5: Solve for x
    x = 10,526,071.10/4,761.63
  6. Step 6: Final answer
    x = 2,210.60

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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.