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Finding the Fourth Proportional to 3,602.58, 4,970.46 and 2,110.35

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Solution

The fourth proportional to 3,602.58, 4,970.46 and 2,110.35 is: 2,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.58 : 4,970.46 = 2,110.35 : x
  2. Step 2: Convert to fraction form
    3,602.58/4,970.46 = 2,110.35/x
  3. Step 3: Cross multiply
    3,602.58x = 4,970.46 × 2,110.35
  4. Step 4: Simplify right side
    3,602.58x = 10,489,410.26
  5. Step 5: Solve for x
    x = 10,489,410.26/3,602.58
  6. Step 6: Final answer
    x = 2,911.64

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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.