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Finding the Fourth Proportional to 4,309.34, 6,502.75 and 4,154.90

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Solution

The fourth proportional to 4,309.34, 6,502.75 and 4,154.90 is: 6,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.34 : 6,502.75 = 4,154.90 : x
  2. Step 2: Convert to fraction form
    4,309.34/6,502.75 = 4,154.90/x
  3. Step 3: Cross multiply
    4,309.34x = 6,502.75 × 4,154.90
  4. Step 4: Simplify right side
    4,309.34x = 27,018,233.07
  5. Step 5: Solve for x
    x = 27,018,233.07/4,309.34
  6. Step 6: Final answer
    x = 6,269.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.