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Finding the Fourth Proportional to 4,488.95, 6,733.68 and 1,410.95

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Solution

The fourth proportional to 4,488.95, 6,733.68 and 1,410.95 is: 2,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.95 : 6,733.68 = 1,410.95 : x
  2. Step 2: Convert to fraction form
    4,488.95/6,733.68 = 1,410.95/x
  3. Step 3: Cross multiply
    4,488.95x = 6,733.68 × 1,410.95
  4. Step 4: Simplify right side
    4,488.95x = 9,500,852.13
  5. Step 5: Solve for x
    x = 9,500,852.13/4,488.95
  6. Step 6: Final answer
    x = 2,116.50

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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.