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Finding the Fourth Proportional to 5,877.96, 8,814.71 and 2,366.77

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Solution

The fourth proportional to 5,877.96, 8,814.71 and 2,366.77 is: 3,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.96 : 8,814.71 = 2,366.77 : x
  2. Step 2: Convert to fraction form
    5,877.96/8,814.71 = 2,366.77/x
  3. Step 3: Cross multiply
    5,877.96x = 8,814.71 × 2,366.77
  4. Step 4: Simplify right side
    5,877.96x = 20,862,391.19
  5. Step 5: Solve for x
    x = 20,862,391.19/5,877.96
  6. Step 6: Final answer
    x = 3,549.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.