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Finding the Fourth Proportional to 4,647.04, 6,966.60 and 3,677.60

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Solution

The fourth proportional to 4,647.04, 6,966.60 and 3,677.60 is: 5,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.04 : 6,966.60 = 3,677.60 : x
  2. Step 2: Convert to fraction form
    4,647.04/6,966.60 = 3,677.60/x
  3. Step 3: Cross multiply
    4,647.04x = 6,966.60 × 3,677.60
  4. Step 4: Simplify right side
    4,647.04x = 25,620,368.16
  5. Step 5: Solve for x
    x = 25,620,368.16/4,647.04
  6. Step 6: Final answer
    x = 5,513.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.