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Finding the Fourth Proportional to 3,875.79, 5,347.38 and 2,196.58

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Solution

The fourth proportional to 3,875.79, 5,347.38 and 2,196.58 is: 3,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.79 : 5,347.38 = 2,196.58 : x
  2. Step 2: Convert to fraction form
    3,875.79/5,347.38 = 2,196.58/x
  3. Step 3: Cross multiply
    3,875.79x = 5,347.38 × 2,196.58
  4. Step 4: Simplify right side
    3,875.79x = 11,745,954.64
  5. Step 5: Solve for x
    x = 11,745,954.64/3,875.79
  6. Step 6: Final answer
    x = 3,030.60

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Why These Related Problems?

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