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Finding the Fourth Proportional to 4,047.12, 6,070.86 and 1,737

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Solution

The fourth proportional to 4,047.12, 6,070.86 and 1,737 is: 2,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.12 : 6,070.86 = 1,737 : x
  2. Step 2: Convert to fraction form
    4,047.12/6,070.86 = 1,737/x
  3. Step 3: Cross multiply
    4,047.12x = 6,070.86 × 1,737
  4. Step 4: Simplify right side
    4,047.12x = 10,545,083.82
  5. Step 5: Solve for x
    x = 10,545,083.82/4,047.12
  6. Step 6: Final answer
    x = 2,605.58

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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.