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Finding the Fourth Proportional to 3,602.00, 4,971.70 and 2,346.50

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Solution

The fourth proportional to 3,602.00, 4,971.70 and 2,346.50 is: 3,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.00 : 4,971.70 = 2,346.50 : x
  2. Step 2: Convert to fraction form
    3,602.00/4,971.70 = 2,346.50/x
  3. Step 3: Cross multiply
    3,602.00x = 4,971.70 × 2,346.50
  4. Step 4: Simplify right side
    3,602.00x = 11,666,068.25
  5. Step 5: Solve for x
    x = 11,666,068.25/3,602.00
  6. Step 6: Final answer
    x = 3,238.78

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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.