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Finding the Fourth Proportional to 5,588, 7,725.84 and 5,343.20

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Solution

The fourth proportional to 5,588, 7,725.84 and 5,343.20 is: 7,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588 : 7,725.84 = 5,343.20 : x
  2. Step 2: Convert to fraction form
    5,588/7,725.84 = 5,343.20/x
  3. Step 3: Cross multiply
    5,588x = 7,725.84 × 5,343.20
  4. Step 4: Simplify right side
    5,588x = 41,280,708.29
  5. Step 5: Solve for x
    x = 41,280,708.29/5,588
  6. Step 6: Final answer
    x = 7,387.39

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Double scale
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1.5x scale

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.