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Finding the Fourth Proportional to 3,009.58, 4,514.06 and 929.02

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Solution

The fourth proportional to 3,009.58, 4,514.06 and 929.02 is: 1,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.58 : 4,514.06 = 929.02 : x
  2. Step 2: Convert to fraction form
    3,009.58/4,514.06 = 929.02/x
  3. Step 3: Cross multiply
    3,009.58x = 4,514.06 × 929.02
  4. Step 4: Simplify right side
    3,009.58x = 4,193,643.06
  5. Step 5: Solve for x
    x = 4,193,643.06/3,009.58
  6. Step 6: Final answer
    x = 1,393.43

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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.