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Finding the Fourth Proportional to 5,742.81, 7,925.81 and 3,504.21

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Solution

The fourth proportional to 5,742.81, 7,925.81 and 3,504.21 is: 4,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.81 : 7,925.81 = 3,504.21 : x
  2. Step 2: Convert to fraction form
    5,742.81/7,925.81 = 3,504.21/x
  3. Step 3: Cross multiply
    5,742.81x = 7,925.81 × 3,504.21
  4. Step 4: Simplify right side
    5,742.81x = 27,773,655.42
  5. Step 5: Solve for x
    x = 27,773,655.42/5,742.81
  6. Step 6: Final answer
    x = 4,836.25

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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.