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Finding the Fourth Proportional to 4,647.58, 6,971.50 and 1,184.83

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Solution

The fourth proportional to 4,647.58, 6,971.50 and 1,184.83 is: 1,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.58 : 6,971.50 = 1,184.83 : x
  2. Step 2: Convert to fraction form
    4,647.58/6,971.50 = 1,184.83/x
  3. Step 3: Cross multiply
    4,647.58x = 6,971.50 × 1,184.83
  4. Step 4: Simplify right side
    4,647.58x = 8,260,026.40
  5. Step 5: Solve for x
    x = 8,260,026.40/4,647.58
  6. Step 6: Final answer
    x = 1,777.28

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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.