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Finding the Fourth Proportional to 3,566.63, 5,349.65 and 1,400.54

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Solution

The fourth proportional to 3,566.63, 5,349.65 and 1,400.54 is: 2,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.63 : 5,349.65 = 1,400.54 : x
  2. Step 2: Convert to fraction form
    3,566.63/5,349.65 = 1,400.54/x
  3. Step 3: Cross multiply
    3,566.63x = 5,349.65 × 1,400.54
  4. Step 4: Simplify right side
    3,566.63x = 7,492,391.81
  5. Step 5: Solve for x
    x = 7,492,391.81/3,566.63
  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.