Home / 5,461.40-8,192.10-1,566.12

Finding the Fourth Proportional to 5,461.40, 8,192.10 and 1,566.12

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Solution

The fourth proportional to 5,461.40, 8,192.10 and 1,566.12 is: 2,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.40 : 8,192.10 = 1,566.12 : x
  2. Step 2: Convert to fraction form
    5,461.40/8,192.10 = 1,566.12/x
  3. Step 3: Cross multiply
    5,461.40x = 8,192.10 × 1,566.12
  4. Step 4: Simplify right side
    5,461.40x = 12,829,811.65
  5. Step 5: Solve for x
    x = 12,829,811.65/5,461.40
  6. Step 6: Final answer
    x = 2,349.18

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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.