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Finding the Fourth Proportional to 5,948.16, 8,208.96 and 3,464.32

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Solution

The fourth proportional to 5,948.16, 8,208.96 and 3,464.32 is: 4,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.16 : 8,208.96 = 3,464.32 : x
  2. Step 2: Convert to fraction form
    5,948.16/8,208.96 = 3,464.32/x
  3. Step 3: Cross multiply
    5,948.16x = 8,208.96 × 3,464.32
  4. Step 4: Simplify right side
    5,948.16x = 28,438,464.31
  5. Step 5: Solve for x
    x = 28,438,464.31/5,948.16
  6. Step 6: Final answer
    x = 4,781.05

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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.