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Finding the Fourth Proportional to 5,631.79, 8,447.14 and 1,735.15

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Solution

The fourth proportional to 5,631.79, 8,447.14 and 1,735.15 is: 2,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.79 : 8,447.14 = 1,735.15 : x
  2. Step 2: Convert to fraction form
    5,631.79/8,447.14 = 1,735.15/x
  3. Step 3: Cross multiply
    5,631.79x = 8,447.14 × 1,735.15
  4. Step 4: Simplify right side
    5,631.79x = 14,657,008.40
  5. Step 5: Solve for x
    x = 14,657,008.40/5,631.79
  6. Step 6: Final answer
    x = 2,602.55

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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.