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Finding the Fourth Proportional to 4,264.34, 6,397.29 and 1,490.94

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Solution

The fourth proportional to 4,264.34, 6,397.29 and 1,490.94 is: 2,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.34 : 6,397.29 = 1,490.94 : x
  2. Step 2: Convert to fraction form
    4,264.34/6,397.29 = 1,490.94/x
  3. Step 3: Cross multiply
    4,264.34x = 6,397.29 × 1,490.94
  4. Step 4: Simplify right side
    4,264.34x = 9,537,975.55
  5. Step 5: Solve for x
    x = 9,537,975.55/4,264.34
  6. Step 6: Final answer
    x = 2,236.69

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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.