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Finding the Fourth Proportional to 5,491.76, 7,573.60 and 4,698.08

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Solution

The fourth proportional to 5,491.76, 7,573.60 and 4,698.08 is: 6,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.76 : 7,573.60 = 4,698.08 : x
  2. Step 2: Convert to fraction form
    5,491.76/7,573.60 = 4,698.08/x
  3. Step 3: Cross multiply
    5,491.76x = 7,573.60 × 4,698.08
  4. Step 4: Simplify right side
    5,491.76x = 35,581,378.69
  5. Step 5: Solve for x
    x = 35,581,378.69/5,491.76
  6. Step 6: Final answer
    x = 6,479.05

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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.