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Finding the Fourth Proportional to 6,572.84, 9,070.26 and 3,588.80

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Solution

The fourth proportional to 6,572.84, 9,070.26 and 3,588.80 is: 4,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.84 : 9,070.26 = 3,588.80 : x
  2. Step 2: Convert to fraction form
    6,572.84/9,070.26 = 3,588.80/x
  3. Step 3: Cross multiply
    6,572.84x = 9,070.26 × 3,588.80
  4. Step 4: Simplify right side
    6,572.84x = 32,551,349.09
  5. Step 5: Solve for x
    x = 32,551,349.09/6,572.84
  6. Step 6: Final answer
    x = 4,952.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.