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Finding the Fourth Proportional to 4,047.66, 5,582.79 and 3,052.98

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Solution

The fourth proportional to 4,047.66, 5,582.79 and 3,052.98 is: 4,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.66 : 5,582.79 = 3,052.98 : x
  2. Step 2: Convert to fraction form
    4,047.66/5,582.79 = 3,052.98/x
  3. Step 3: Cross multiply
    4,047.66x = 5,582.79 × 3,052.98
  4. Step 4: Simplify right side
    4,047.66x = 17,044,146.21
  5. Step 5: Solve for x
    x = 17,044,146.21/4,047.66
  6. Step 6: Final answer
    x = 4,210.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.