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Finding the Fourth Proportional to 3,564.35, 5,346.74 and 1,373.08

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Solution

The fourth proportional to 3,564.35, 5,346.74 and 1,373.08 is: 2,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.35 : 5,346.74 = 1,373.08 : x
  2. Step 2: Convert to fraction form
    3,564.35/5,346.74 = 1,373.08/x
  3. Step 3: Cross multiply
    3,564.35x = 5,346.74 × 1,373.08
  4. Step 4: Simplify right side
    3,564.35x = 7,341,501.76
  5. Step 5: Solve for x
    x = 7,341,501.76/3,564.35
  6. Step 6: Final answer
    x = 2,059.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.