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Finding the Fourth Proportional to 5,718.88, 8,566.24 and 3,637.76

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Solution

The fourth proportional to 5,718.88, 8,566.24 and 3,637.76 is: 5,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.88 : 8,566.24 = 3,637.76 : x
  2. Step 2: Convert to fraction form
    5,718.88/8,566.24 = 3,637.76/x
  3. Step 3: Cross multiply
    5,718.88x = 8,566.24 × 3,637.76
  4. Step 4: Simplify right side
    5,718.88x = 31,161,925.22
  5. Step 5: Solve for x
    x = 31,161,925.22/5,718.88
  6. Step 6: Final answer
    x = 5,448.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.