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Finding the Fourth Proportional to 5,655.66, 7,802.78 and 3,416.70

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Solution

The fourth proportional to 5,655.66, 7,802.78 and 3,416.70 is: 4,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.66 : 7,802.78 = 3,416.70 : x
  2. Step 2: Convert to fraction form
    5,655.66/7,802.78 = 3,416.70/x
  3. Step 3: Cross multiply
    5,655.66x = 7,802.78 × 3,416.70
  4. Step 4: Simplify right side
    5,655.66x = 26,659,758.43
  5. Step 5: Solve for x
    x = 26,659,758.43/5,655.66
  6. Step 6: Final answer
    x = 4,713.82

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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.