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Finding the Fourth Proportional to 4,677.10, 6,552.80 and 4,677.10

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Solution

The fourth proportional to 4,677.10, 6,552.80 and 4,677.10 is: 6,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.10 : 6,552.80 = 4,677.10 : x
  2. Step 2: Convert to fraction form
    4,677.10/6,552.80 = 4,677.10/x
  3. Step 3: Cross multiply
    4,677.10x = 6,552.80 × 4,677.10
  4. Step 4: Simplify right side
    4,677.10x = 30,648,100.88
  5. Step 5: Solve for x
    x = 30,648,100.88/4,677.10
  6. Step 6: Final answer
    x = 6,552.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.