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Finding the Fourth Proportional to 4,673.44, 6,444.08 and 4,565.92

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Solution

The fourth proportional to 4,673.44, 6,444.08 and 4,565.92 is: 6,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.44 : 6,444.08 = 4,565.92 : x
  2. Step 2: Convert to fraction form
    4,673.44/6,444.08 = 4,565.92/x
  3. Step 3: Cross multiply
    4,673.44x = 6,444.08 × 4,565.92
  4. Step 4: Simplify right side
    4,673.44x = 29,423,153.75
  5. Step 5: Solve for x
    x = 29,423,153.75/4,673.44
  6. Step 6: Final answer
    x = 6,295.82

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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.