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Finding the Fourth Proportional to 3,602.32, 4,970.74 and 2,109.96

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Solution

The fourth proportional to 3,602.32, 4,970.74 and 2,109.96 is: 2,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.32 : 4,970.74 = 2,109.96 : x
  2. Step 2: Convert to fraction form
    3,602.32/4,970.74 = 2,109.96/x
  3. Step 3: Cross multiply
    3,602.32x = 4,970.74 × 2,109.96
  4. Step 4: Simplify right side
    3,602.32x = 10,488,062.57
  5. Step 5: Solve for x
    x = 10,488,062.57/3,602.32
  6. Step 6: Final answer
    x = 2,911.47

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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.