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Finding the Fourth Proportional to 4,242, 6,356.07 and 2,159.13

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Solution

The fourth proportional to 4,242, 6,356.07 and 2,159.13 is: 3,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 6,356.07 = 2,159.13 : x
  2. Step 2: Convert to fraction form
    4,242/6,356.07 = 2,159.13/x
  3. Step 3: Cross multiply
    4,242x = 6,356.07 × 2,159.13
  4. Step 4: Simplify right side
    4,242x = 13,723,581.42
  5. Step 5: Solve for x
    x = 13,723,581.42/4,242
  6. Step 6: Final answer
    x = 3,235.17

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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.