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Finding the Fourth Proportional to 5,783.01, 8,674.53 and 1,400.46

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Solution

The fourth proportional to 5,783.01, 8,674.53 and 1,400.46 is: 2,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.01 : 8,674.53 = 1,400.46 : x
  2. Step 2: Convert to fraction form
    5,783.01/8,674.53 = 1,400.46/x
  3. Step 3: Cross multiply
    5,783.01x = 8,674.53 × 1,400.46
  4. Step 4: Simplify right side
    5,783.01x = 12,148,332.28
  5. Step 5: Solve for x
    x = 12,148,332.28/5,783.01
  6. Step 6: Final answer
    x = 2,100.69

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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.