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Finding the Fourth Proportional to 5,590.64, 7,715.28 and 3,072.98

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Solution

The fourth proportional to 5,590.64, 7,715.28 and 3,072.98 is: 4,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.64 : 7,715.28 = 3,072.98 : x
  2. Step 2: Convert to fraction form
    5,590.64/7,715.28 = 3,072.98/x
  3. Step 3: Cross multiply
    5,590.64x = 7,715.28 × 3,072.98
  4. Step 4: Simplify right side
    5,590.64x = 23,708,901.13
  5. Step 5: Solve for x
    x = 23,708,901.13/5,590.64
  6. Step 6: Final answer
    x = 4,240.82

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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.