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Finding the Fourth Proportional to 5,275.64, 7,280.28 and 2,917.76

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Solution

The fourth proportional to 5,275.64, 7,280.28 and 2,917.76 is: 4,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.64 : 7,280.28 = 2,917.76 : x
  2. Step 2: Convert to fraction form
    5,275.64/7,280.28 = 2,917.76/x
  3. Step 3: Cross multiply
    5,275.64x = 7,280.28 × 2,917.76
  4. Step 4: Simplify right side
    5,275.64x = 21,242,109.77
  5. Step 5: Solve for x
    x = 21,242,109.77/5,275.64
  6. Step 6: Final answer
    x = 4,026.45

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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.