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Finding the Fourth Proportional to 5,666.86, 7,820.28 and 3,309.16

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Solution

The fourth proportional to 5,666.86, 7,820.28 and 3,309.16 is: 4,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.86 : 7,820.28 = 3,309.16 : x
  2. Step 2: Convert to fraction form
    5,666.86/7,820.28 = 3,309.16/x
  3. Step 3: Cross multiply
    5,666.86x = 7,820.28 × 3,309.16
  4. Step 4: Simplify right side
    5,666.86x = 25,878,557.76
  5. Step 5: Solve for x
    x = 25,878,557.76/5,666.86
  6. Step 6: Final answer
    x = 4,566.65

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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.