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Finding the Fourth Proportional to 5,700.58, 8,543.88 and 3,237.47

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Solution

The fourth proportional to 5,700.58, 8,543.88 and 3,237.47 is: 4,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.58 : 8,543.88 = 3,237.47 : x
  2. Step 2: Convert to fraction form
    5,700.58/8,543.88 = 3,237.47/x
  3. Step 3: Cross multiply
    5,700.58x = 8,543.88 × 3,237.47
  4. Step 4: Simplify right side
    5,700.58x = 27,660,544.50
  5. Step 5: Solve for x
    x = 27,660,544.50/5,700.58
  6. Step 6: Final answer
    x = 4,852.24

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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.