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Finding the Fourth Proportional to 4,708.64, 7,062.24 and 1,246.16

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Solution

The fourth proportional to 4,708.64, 7,062.24 and 1,246.16 is: 1,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.64 : 7,062.24 = 1,246.16 : x
  2. Step 2: Convert to fraction form
    4,708.64/7,062.24 = 1,246.16/x
  3. Step 3: Cross multiply
    4,708.64x = 7,062.24 × 1,246.16
  4. Step 4: Simplify right side
    4,708.64x = 8,800,681.00
  5. Step 5: Solve for x
    x = 8,800,681.00/4,708.64
  6. Step 6: Final answer
    x = 1,869.05

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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.