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Finding the Fourth Proportional to 5,497.65, 7,577.91 and 4,300.61

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Solution

The fourth proportional to 5,497.65, 7,577.91 and 4,300.61 is: 5,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.65 : 7,577.91 = 4,300.61 : x
  2. Step 2: Convert to fraction form
    5,497.65/7,577.91 = 4,300.61/x
  3. Step 3: Cross multiply
    5,497.65x = 7,577.91 × 4,300.61
  4. Step 4: Simplify right side
    5,497.65x = 32,589,597.64
  5. Step 5: Solve for x
    x = 32,589,597.64/5,497.65
  6. Step 6: Final answer
    x = 5,927.91

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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.