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Finding the Fourth Proportional to 3,675.76, 5,070.76 and 2,559.28

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Solution

The fourth proportional to 3,675.76, 5,070.76 and 2,559.28 is: 3,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.76 : 5,070.76 = 2,559.28 : x
  2. Step 2: Convert to fraction form
    3,675.76/5,070.76 = 2,559.28/x
  3. Step 3: Cross multiply
    3,675.76x = 5,070.76 × 2,559.28
  4. Step 4: Simplify right side
    3,675.76x = 12,977,494.65
  5. Step 5: Solve for x
    x = 12,977,494.65/3,675.76
  6. Step 6: Final answer
    x = 3,530.56

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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.