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Finding the Fourth Proportional to 3,566.88, 4,922 and 2,075.20

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Solution

The fourth proportional to 3,566.88, 4,922 and 2,075.20 is: 2,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.88 : 4,922 = 2,075.20 : x
  2. Step 2: Convert to fraction form
    3,566.88/4,922 = 2,075.20/x
  3. Step 3: Cross multiply
    3,566.88x = 4,922 × 2,075.20
  4. Step 4: Simplify right side
    3,566.88x = 10,214,134.40
  5. Step 5: Solve for x
    x = 10,214,134.40/3,566.88
  6. Step 6: Final answer
    x = 2,863.60

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1.5x scale

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.