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Finding the Fourth Proportional to 4,065.05, 6,097.57 and 987.05

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Solution

The fourth proportional to 4,065.05, 6,097.57 and 987.05 is: 1,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.05 : 6,097.57 = 987.05 : x
  2. Step 2: Convert to fraction form
    4,065.05/6,097.57 = 987.05/x
  3. Step 3: Cross multiply
    4,065.05x = 6,097.57 × 987.05
  4. Step 4: Simplify right side
    4,065.05x = 6,018,619.24
  5. Step 5: Solve for x
    x = 6,018,619.24/4,065.05
  6. Step 6: Final answer
    x = 1,480.58

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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.