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Finding the Fourth Proportional to 5,244.24, 7,866.72 and 1,780.32

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Solution

The fourth proportional to 5,244.24, 7,866.72 and 1,780.32 is: 2,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.24 : 7,866.72 = 1,780.32 : x
  2. Step 2: Convert to fraction form
    5,244.24/7,866.72 = 1,780.32/x
  3. Step 3: Cross multiply
    5,244.24x = 7,866.72 × 1,780.32
  4. Step 4: Simplify right side
    5,244.24x = 14,005,278.95
  5. Step 5: Solve for x
    x = 14,005,278.95/5,244.24
  6. Step 6: Final answer
    x = 2,670.60

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1.5x scale

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.