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Finding the Fourth Proportional to 4,602.17, 6,903.28 and 1,315.29

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Solution

The fourth proportional to 4,602.17, 6,903.28 and 1,315.29 is: 1,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.17 : 6,903.28 = 1,315.29 : x
  2. Step 2: Convert to fraction form
    4,602.17/6,903.28 = 1,315.29/x
  3. Step 3: Cross multiply
    4,602.17x = 6,903.28 × 1,315.29
  4. Step 4: Simplify right side
    4,602.17x = 9,079,796.45
  5. Step 5: Solve for x
    x = 9,079,796.45/4,602.17
  6. Step 6: Final answer
    x = 1,972.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.