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Finding the Fourth Proportional to 5,322.66, 7,984.80 and 1,624.74

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Solution

The fourth proportional to 5,322.66, 7,984.80 and 1,624.74 is: 2,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.66 : 7,984.80 = 1,624.74 : x
  2. Step 2: Convert to fraction form
    5,322.66/7,984.80 = 1,624.74/x
  3. Step 3: Cross multiply
    5,322.66x = 7,984.80 × 1,624.74
  4. Step 4: Simplify right side
    5,322.66x = 12,973,223.95
  5. Step 5: Solve for x
    x = 12,973,223.95/5,322.66
  6. Step 6: Final answer
    x = 2,437.36

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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.