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Finding the Fourth Proportional to 5,790.02, 8,686.11 and 1,894.64

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Solution

The fourth proportional to 5,790.02, 8,686.11 and 1,894.64 is: 2,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.02 : 8,686.11 = 1,894.64 : x
  2. Step 2: Convert to fraction form
    5,790.02/8,686.11 = 1,894.64/x
  3. Step 3: Cross multiply
    5,790.02x = 8,686.11 × 1,894.64
  4. Step 4: Simplify right side
    5,790.02x = 16,457,051.45
  5. Step 5: Solve for x
    x = 16,457,051.45/5,790.02
  6. Step 6: Final answer
    x = 2,842.31

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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.