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Finding the Fourth Proportional to 4,135.57, 5,707.18 and 2,543.07

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Solution

The fourth proportional to 4,135.57, 5,707.18 and 2,543.07 is: 3,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.57 : 5,707.18 = 2,543.07 : x
  2. Step 2: Convert to fraction form
    4,135.57/5,707.18 = 2,543.07/x
  3. Step 3: Cross multiply
    4,135.57x = 5,707.18 × 2,543.07
  4. Step 4: Simplify right side
    4,135.57x = 14,513,758.24
  5. Step 5: Solve for x
    x = 14,513,758.24/4,135.57
  6. Step 6: Final answer
    x = 3,509.49

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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.