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Finding the Fourth Proportional to 3,953.96, 5,931.08 and 1,032.16

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Solution

The fourth proportional to 3,953.96, 5,931.08 and 1,032.16 is: 1,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.96 : 5,931.08 = 1,032.16 : x
  2. Step 2: Convert to fraction form
    3,953.96/5,931.08 = 1,032.16/x
  3. Step 3: Cross multiply
    3,953.96x = 5,931.08 × 1,032.16
  4. Step 4: Simplify right side
    3,953.96x = 6,121,823.53
  5. Step 5: Solve for x
    x = 6,121,823.53/3,953.96
  6. Step 6: Final answer
    x = 1,548.28

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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.