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Finding the Fourth Proportional to 5,714.55, 8,547.23 and 5,085.80

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Solution

The fourth proportional to 5,714.55, 8,547.23 and 5,085.80 is: 7,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.55 : 8,547.23 = 5,085.80 : x
  2. Step 2: Convert to fraction form
    5,714.55/8,547.23 = 5,085.80/x
  3. Step 3: Cross multiply
    5,714.55x = 8,547.23 × 5,085.80
  4. Step 4: Simplify right side
    5,714.55x = 43,469,434.17
  5. Step 5: Solve for x
    x = 43,469,434.17/5,714.55
  6. Step 6: Final answer
    x = 7,606.80

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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.