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Finding the Fourth Proportional to 5,875.80, 8,813.70 and 2,585.40

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Solution

The fourth proportional to 5,875.80, 8,813.70 and 2,585.40 is: 3,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.80 : 8,813.70 = 2,585.40 : x
  2. Step 2: Convert to fraction form
    5,875.80/8,813.70 = 2,585.40/x
  3. Step 3: Cross multiply
    5,875.80x = 8,813.70 × 2,585.40
  4. Step 4: Simplify right side
    5,875.80x = 22,786,939.98
  5. Step 5: Solve for x
    x = 22,786,939.98/5,875.80
  6. Step 6: Final answer
    x = 3,878.10

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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.