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Finding the Fourth Proportional to 5,390.64, 8,085.74 and 1,494.95

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Solution

The fourth proportional to 5,390.64, 8,085.74 and 1,494.95 is: 2,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.64 : 8,085.74 = 1,494.95 : x
  2. Step 2: Convert to fraction form
    5,390.64/8,085.74 = 1,494.95/x
  3. Step 3: Cross multiply
    5,390.64x = 8,085.74 × 1,494.95
  4. Step 4: Simplify right side
    5,390.64x = 12,087,729.11
  5. Step 5: Solve for x
    x = 12,087,729.11/5,390.64
  6. Step 6: Final answer
    x = 2,242.36

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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.