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Finding the Fourth Proportional to 3,562.08, 4,914.96 and 2,070

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Solution

The fourth proportional to 3,562.08, 4,914.96 and 2,070 is: 2,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.08 : 4,914.96 = 2,070 : x
  2. Step 2: Convert to fraction form
    3,562.08/4,914.96 = 2,070/x
  3. Step 3: Cross multiply
    3,562.08x = 4,914.96 × 2,070
  4. Step 4: Simplify right side
    3,562.08x = 10,173,967.20
  5. Step 5: Solve for x
    x = 10,173,967.20/3,562.08
  6. Step 6: Final answer
    x = 2,856.19

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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.