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Finding the Fourth Proportional to 5,447.76, 7,518 and 3,089.40

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Solution

The fourth proportional to 5,447.76, 7,518 and 3,089.40 is: 4,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.76 : 7,518 = 3,089.40 : x
  2. Step 2: Convert to fraction form
    5,447.76/7,518 = 3,089.40/x
  3. Step 3: Cross multiply
    5,447.76x = 7,518 × 3,089.40
  4. Step 4: Simplify right side
    5,447.76x = 23,226,109.20
  5. Step 5: Solve for x
    x = 23,226,109.20/5,447.76
  6. Step 6: Final answer
    x = 4,263.42

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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.