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Finding the Fourth Proportional to 4,742.84, 6,545.14 and 2,647.10

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Solution

The fourth proportional to 4,742.84, 6,545.14 and 2,647.10 is: 3,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.84 : 6,545.14 = 2,647.10 : x
  2. Step 2: Convert to fraction form
    4,742.84/6,545.14 = 2,647.10/x
  3. Step 3: Cross multiply
    4,742.84x = 6,545.14 × 2,647.10
  4. Step 4: Simplify right side
    4,742.84x = 17,325,640.09
  5. Step 5: Solve for x
    x = 17,325,640.09/4,742.84
  6. Step 6: Final answer
    x = 3,653.01

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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.