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Finding the Fourth Proportional to 5,828.64, 8,037.81 and 4,567.74

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Solution

The fourth proportional to 5,828.64, 8,037.81 and 4,567.74 is: 6,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.64 : 8,037.81 = 4,567.74 : x
  2. Step 2: Convert to fraction form
    5,828.64/8,037.81 = 4,567.74/x
  3. Step 3: Cross multiply
    5,828.64x = 8,037.81 × 4,567.74
  4. Step 4: Simplify right side
    5,828.64x = 36,714,626.25
  5. Step 5: Solve for x
    x = 36,714,626.25/5,828.64
  6. Step 6: Final answer
    x = 6,299.00

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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.