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Finding the Fourth Proportional to 4,671.36, 6,442.56 and 4,210.56

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Solution

The fourth proportional to 4,671.36, 6,442.56 and 4,210.56 is: 5,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.36 : 6,442.56 = 4,210.56 : x
  2. Step 2: Convert to fraction form
    4,671.36/6,442.56 = 4,210.56/x
  3. Step 3: Cross multiply
    4,671.36x = 6,442.56 × 4,210.56
  4. Step 4: Simplify right side
    4,671.36x = 27,126,785.43
  5. Step 5: Solve for x
    x = 27,126,785.43/4,671.36
  6. Step 6: Final answer
    x = 5,807.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.