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Finding the Fourth Proportional to 3,374.32, 5,061.48 and 1,066

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Solution

The fourth proportional to 3,374.32, 5,061.48 and 1,066 is: 1,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.32 : 5,061.48 = 1,066 : x
  2. Step 2: Convert to fraction form
    3,374.32/5,061.48 = 1,066/x
  3. Step 3: Cross multiply
    3,374.32x = 5,061.48 × 1,066
  4. Step 4: Simplify right side
    3,374.32x = 5,395,537.68
  5. Step 5: Solve for x
    x = 5,395,537.68/3,374.32
  6. Step 6: Final answer
    x = 1,599.00

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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.