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Finding the Fourth Proportional to 4,134.99, 5,707.18 and 2,543.00

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Solution

The fourth proportional to 4,134.99, 5,707.18 and 2,543.00 is: 3,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.99 : 5,707.18 = 2,543.00 : x
  2. Step 2: Convert to fraction form
    4,134.99/5,707.18 = 2,543.00/x
  3. Step 3: Cross multiply
    4,134.99x = 5,707.18 × 2,543.00
  4. Step 4: Simplify right side
    4,134.99x = 14,513,385.11
  5. Step 5: Solve for x
    x = 14,513,385.11/4,134.99
  6. Step 6: Final answer
    x = 3,509.90

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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.