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Finding the Fourth Proportional to 5,655.16, 7,803.77 and 3,415.71

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Solution

The fourth proportional to 5,655.16, 7,803.77 and 3,415.71 is: 4,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.16 : 7,803.77 = 3,415.71 : x
  2. Step 2: Convert to fraction form
    5,655.16/7,803.77 = 3,415.71/x
  3. Step 3: Cross multiply
    5,655.16x = 7,803.77 × 3,415.71
  4. Step 4: Simplify right side
    5,655.16x = 26,655,398.15
  5. Step 5: Solve for x
    x = 26,655,398.15/5,655.16
  6. Step 6: Final answer
    x = 4,713.47

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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.