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Finding the Fourth Proportional to 6,304.64, 8,701.04 and 4,730.00

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Solution

The fourth proportional to 6,304.64, 8,701.04 and 4,730.00 is: 6,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.64 : 8,701.04 = 4,730.00 : x
  2. Step 2: Convert to fraction form
    6,304.64/8,701.04 = 4,730.00/x
  3. Step 3: Cross multiply
    6,304.64x = 8,701.04 × 4,730.00
  4. Step 4: Simplify right side
    6,304.64x = 41,155,887.52
  5. Step 5: Solve for x
    x = 41,155,887.52/6,304.64
  6. Step 6: Final answer
    x = 6,527.88

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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.