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Finding the Fourth Proportional to 3,954.69, 5,931.87 and 1,032.93

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Solution

The fourth proportional to 3,954.69, 5,931.87 and 1,032.93 is: 1,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.69 : 5,931.87 = 1,032.93 : x
  2. Step 2: Convert to fraction form
    3,954.69/5,931.87 = 1,032.93/x
  3. Step 3: Cross multiply
    3,954.69x = 5,931.87 × 1,032.93
  4. Step 4: Simplify right side
    3,954.69x = 6,127,206.48
  5. Step 5: Solve for x
    x = 6,127,206.48/3,954.69
  6. Step 6: Final answer
    x = 1,549.35

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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.