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Finding the Fourth Proportional to 3,389.12, 4,678.98 and 2,543

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Solution

The fourth proportional to 3,389.12, 4,678.98 and 2,543 is: 3,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.12 : 4,678.98 = 2,543 : x
  2. Step 2: Convert to fraction form
    3,389.12/4,678.98 = 2,543/x
  3. Step 3: Cross multiply
    3,389.12x = 4,678.98 × 2,543
  4. Step 4: Simplify right side
    3,389.12x = 11,898,646.14
  5. Step 5: Solve for x
    x = 11,898,646.14/3,389.12
  6. Step 6: Final answer
    x = 3,510.84

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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.