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Finding the Fourth Proportional to 4,784.64, 6,602.12 and 2,660.04

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Solution

The fourth proportional to 4,784.64, 6,602.12 and 2,660.04 is: 3,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.64 : 6,602.12 = 2,660.04 : x
  2. Step 2: Convert to fraction form
    4,784.64/6,602.12 = 2,660.04/x
  3. Step 3: Cross multiply
    4,784.64x = 6,602.12 × 2,660.04
  4. Step 4: Simplify right side
    4,784.64x = 17,561,903.28
  5. Step 5: Solve for x
    x = 17,561,903.28/4,784.64
  6. Step 6: Final answer
    x = 3,670.48

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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.