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Finding the Fourth Proportional to 4,671.24, 6,448.29 and 2,903.40

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Solution

The fourth proportional to 4,671.24, 6,448.29 and 2,903.40 is: 4,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.24 : 6,448.29 = 2,903.40 : x
  2. Step 2: Convert to fraction form
    4,671.24/6,448.29 = 2,903.40/x
  3. Step 3: Cross multiply
    4,671.24x = 6,448.29 × 2,903.40
  4. Step 4: Simplify right side
    4,671.24x = 18,721,965.19
  5. Step 5: Solve for x
    x = 18,721,965.19/4,671.24
  6. Step 6: Final answer
    x = 4,007.92

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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.