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Finding the Fourth Proportional to 5,496.64, 7,585.36 and 2,978.76

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Solution

The fourth proportional to 5,496.64, 7,585.36 and 2,978.76 is: 4,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.64 : 7,585.36 = 2,978.76 : x
  2. Step 2: Convert to fraction form
    5,496.64/7,585.36 = 2,978.76/x
  3. Step 3: Cross multiply
    5,496.64x = 7,585.36 × 2,978.76
  4. Step 4: Simplify right side
    5,496.64x = 22,594,952.06
  5. Step 5: Solve for x
    x = 22,594,952.06/5,496.64
  6. Step 6: Final answer
    x = 4,110.69

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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.