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Finding the Fourth Proportional to 3,497.92, 4,827.09 and 1,985.77

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Solution

The fourth proportional to 3,497.92, 4,827.09 and 1,985.77 is: 2,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.92 : 4,827.09 = 1,985.77 : x
  2. Step 2: Convert to fraction form
    3,497.92/4,827.09 = 1,985.77/x
  3. Step 3: Cross multiply
    3,497.92x = 4,827.09 × 1,985.77
  4. Step 4: Simplify right side
    3,497.92x = 9,585,490.51
  5. Step 5: Solve for x
    x = 9,585,490.51/3,497.92
  6. Step 6: Final answer
    x = 2,740.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.