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Finding the Fourth Proportional to 3,659.64, 5,050.80 and 2,088.24

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Solution

The fourth proportional to 3,659.64, 5,050.80 and 2,088.24 is: 2,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.64 : 5,050.80 = 2,088.24 : x
  2. Step 2: Convert to fraction form
    3,659.64/5,050.80 = 2,088.24/x
  3. Step 3: Cross multiply
    3,659.64x = 5,050.80 × 2,088.24
  4. Step 4: Simplify right side
    3,659.64x = 10,547,282.59
  5. Step 5: Solve for x
    x = 10,547,282.59/3,659.64
  6. Step 6: Final answer
    x = 2,882.05

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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.