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Finding the Fourth Proportional to 5,607.40, 8,411.10 and 1,711.84

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Solution

The fourth proportional to 5,607.40, 8,411.10 and 1,711.84 is: 2,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.40 : 8,411.10 = 1,711.84 : x
  2. Step 2: Convert to fraction form
    5,607.40/8,411.10 = 1,711.84/x
  3. Step 3: Cross multiply
    5,607.40x = 8,411.10 × 1,711.84
  4. Step 4: Simplify right side
    5,607.40x = 14,398,457.42
  5. Step 5: Solve for x
    x = 14,398,457.42/5,607.40
  6. Step 6: Final answer
    x = 2,567.76

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Similar ratio
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1.5x scale

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.