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Finding the Fourth Proportional to 3,557.64, 4,909.06 and 2,065.32

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Solution

The fourth proportional to 3,557.64, 4,909.06 and 2,065.32 is: 2,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.64 : 4,909.06 = 2,065.32 : x
  2. Step 2: Convert to fraction form
    3,557.64/4,909.06 = 2,065.32/x
  3. Step 3: Cross multiply
    3,557.64x = 4,909.06 × 2,065.32
  4. Step 4: Simplify right side
    3,557.64x = 10,138,779.80
  5. Step 5: Solve for x
    x = 10,138,779.80/3,557.64
  6. Step 6: Final answer
    x = 2,849.86

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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.