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Finding the Fourth Proportional to 5,097.66, 7,641.01 and 2,495.13

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Solution

The fourth proportional to 5,097.66, 7,641.01 and 2,495.13 is: 3,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.66 : 7,641.01 = 2,495.13 : x
  2. Step 2: Convert to fraction form
    5,097.66/7,641.01 = 2,495.13/x
  3. Step 3: Cross multiply
    5,097.66x = 7,641.01 × 2,495.13
  4. Step 4: Simplify right side
    5,097.66x = 19,065,313.28
  5. Step 5: Solve for x
    x = 19,065,313.28/5,097.66
  6. Step 6: Final answer
    x = 3,740.01

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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.