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Finding the Fourth Proportional to 5,604.74, 8,407.10 and 1,709.15

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Solution

The fourth proportional to 5,604.74, 8,407.10 and 1,709.15 is: 2,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.74 : 8,407.10 = 1,709.15 : x
  2. Step 2: Convert to fraction form
    5,604.74/8,407.10 = 1,709.15/x
  3. Step 3: Cross multiply
    5,604.74x = 8,407.10 × 1,709.15
  4. Step 4: Simplify right side
    5,604.74x = 14,368,957.20
  5. Step 5: Solve for x
    x = 14,368,957.20/5,604.74
  6. Step 6: Final answer
    x = 2,563.72

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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.