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Finding the Fourth Proportional to 3,152.01, 4,729.01 and 1,304.00

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Solution

The fourth proportional to 3,152.01, 4,729.01 and 1,304.00 is: 1,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.01 : 4,729.01 = 1,304.00 : x
  2. Step 2: Convert to fraction form
    3,152.01/4,729.01 = 1,304.00/x
  3. Step 3: Cross multiply
    3,152.01x = 4,729.01 × 1,304.00
  4. Step 4: Simplify right side
    3,152.01x = 6,166,598.87
  5. Step 5: Solve for x
    x = 6,166,598.87/3,152.01
  6. Step 6: Final answer
    x = 1,956.40

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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.