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Finding the Fourth Proportional to 5,495.65, 7,583.88 and 2,977.66

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Solution

The fourth proportional to 5,495.65, 7,583.88 and 2,977.66 is: 4,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.65 : 7,583.88 = 2,977.66 : x
  2. Step 2: Convert to fraction form
    5,495.65/7,583.88 = 2,977.66/x
  3. Step 3: Cross multiply
    5,495.65x = 7,583.88 × 2,977.66
  4. Step 4: Simplify right side
    5,495.65x = 22,582,220.02
  5. Step 5: Solve for x
    x = 22,582,220.02/5,495.65
  6. Step 6: Final answer
    x = 4,109.11

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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.