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Finding the Fourth Proportional to 5,655.76, 7,802.82 and 4,167.24

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Solution

The fourth proportional to 5,655.76, 7,802.82 and 4,167.24 is: 5,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.76 : 7,802.82 = 4,167.24 : x
  2. Step 2: Convert to fraction form
    5,655.76/7,802.82 = 4,167.24/x
  3. Step 3: Cross multiply
    5,655.76x = 7,802.82 × 4,167.24
  4. Step 4: Simplify right side
    5,655.76x = 32,516,223.62
  5. Step 5: Solve for x
    x = 32,516,223.62/5,655.76
  6. Step 6: Final answer
    x = 5,749.22

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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.