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Finding the Fourth Proportional to 4,030.09, 6,046.82 and 1,566.64

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Solution

The fourth proportional to 4,030.09, 6,046.82 and 1,566.64 is: 2,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.09 : 6,046.82 = 1,566.64 : x
  2. Step 2: Convert to fraction form
    4,030.09/6,046.82 = 1,566.64/x
  3. Step 3: Cross multiply
    4,030.09x = 6,046.82 × 1,566.64
  4. Step 4: Simplify right side
    4,030.09x = 9,473,182.25
  5. Step 5: Solve for x
    x = 9,473,182.25/4,030.09
  6. Step 6: Final answer
    x = 2,350.61

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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.