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Finding the Fourth Proportional to 5,316.64, 7,972.56 and 1,619.32

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Solution

The fourth proportional to 5,316.64, 7,972.56 and 1,619.32 is: 2,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.64 : 7,972.56 = 1,619.32 : x
  2. Step 2: Convert to fraction form
    5,316.64/7,972.56 = 1,619.32/x
  3. Step 3: Cross multiply
    5,316.64x = 7,972.56 × 1,619.32
  4. Step 4: Simplify right side
    5,316.64x = 12,910,125.86
  5. Step 5: Solve for x
    x = 12,910,125.86/5,316.64
  6. Step 6: Final answer
    x = 2,428.25

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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.