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Finding the Fourth Proportional to 4,258.64, 6,382.04 and 2,385.50

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Solution

The fourth proportional to 4,258.64, 6,382.04 and 2,385.50 is: 3,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.64 : 6,382.04 = 2,385.50 : x
  2. Step 2: Convert to fraction form
    4,258.64/6,382.04 = 2,385.50/x
  3. Step 3: Cross multiply
    4,258.64x = 6,382.04 × 2,385.50
  4. Step 4: Simplify right side
    4,258.64x = 15,224,356.42
  5. Step 5: Solve for x
    x = 15,224,356.42/4,258.64
  6. Step 6: Final answer
    x = 3,574.93

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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.