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Finding the Fourth Proportional to 5,193.95, 7,785.99 and 2,075.90

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Solution

The fourth proportional to 5,193.95, 7,785.99 and 2,075.90 is: 3,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.95 : 7,785.99 = 2,075.90 : x
  2. Step 2: Convert to fraction form
    5,193.95/7,785.99 = 2,075.90/x
  3. Step 3: Cross multiply
    5,193.95x = 7,785.99 × 2,075.90
  4. Step 4: Simplify right side
    5,193.95x = 16,162,897.71
  5. Step 5: Solve for x
    x = 16,162,897.71/5,193.95
  6. Step 6: Final answer
    x = 3,111.87

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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.