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Finding the Fourth Proportional to 4,661.73, 6,985.54 and 2,810.77

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Solution

The fourth proportional to 4,661.73, 6,985.54 and 2,810.77 is: 4,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.73 : 6,985.54 = 2,810.77 : x
  2. Step 2: Convert to fraction form
    4,661.73/6,985.54 = 2,810.77/x
  3. Step 3: Cross multiply
    4,661.73x = 6,985.54 × 2,810.77
  4. Step 4: Simplify right side
    4,661.73x = 19,634,746.27
  5. Step 5: Solve for x
    x = 19,634,746.27/4,661.73
  6. Step 6: Final answer
    x = 4,211.90

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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.