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Finding the Fourth Proportional to 3,471.47, 4,785.64 and 2,475.01

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Solution

The fourth proportional to 3,471.47, 4,785.64 and 2,475.01 is: 3,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.47 : 4,785.64 = 2,475.01 : x
  2. Step 2: Convert to fraction form
    3,471.47/4,785.64 = 2,475.01/x
  3. Step 3: Cross multiply
    3,471.47x = 4,785.64 × 2,475.01
  4. Step 4: Simplify right side
    3,471.47x = 11,844,512.63
  5. Step 5: Solve for x
    x = 11,844,512.63/3,471.47
  6. Step 6: Final answer
    x = 3,411.96

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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.