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Finding the Fourth Proportional to 4,656.52, 6,429.27 and 3,827.08

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Solution

The fourth proportional to 4,656.52, 6,429.27 and 3,827.08 is: 5,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.52 : 6,429.27 = 3,827.08 : x
  2. Step 2: Convert to fraction form
    4,656.52/6,429.27 = 3,827.08/x
  3. Step 3: Cross multiply
    4,656.52x = 6,429.27 × 3,827.08
  4. Step 4: Simplify right side
    4,656.52x = 24,605,330.63
  5. Step 5: Solve for x
    x = 24,605,330.63/4,656.52
  6. Step 6: Final answer
    x = 5,284.06

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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.