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Finding the Fourth Proportional to 5,888.64, 8,824.76 and 4,426.08

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Solution

The fourth proportional to 5,888.64, 8,824.76 and 4,426.08 is: 6,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.64 : 8,824.76 = 4,426.08 : x
  2. Step 2: Convert to fraction form
    5,888.64/8,824.76 = 4,426.08/x
  3. Step 3: Cross multiply
    5,888.64x = 8,824.76 × 4,426.08
  4. Step 4: Simplify right side
    5,888.64x = 39,059,071.61
  5. Step 5: Solve for x
    x = 39,059,071.61/5,888.64
  6. Step 6: Final answer
    x = 6,632.95

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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.