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Finding the Fourth Proportional to 4,661.37, 6,432.46 and 2,565.45

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Solution

The fourth proportional to 4,661.37, 6,432.46 and 2,565.45 is: 3,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.37 : 6,432.46 = 2,565.45 : x
  2. Step 2: Convert to fraction form
    4,661.37/6,432.46 = 2,565.45/x
  3. Step 3: Cross multiply
    4,661.37x = 6,432.46 × 2,565.45
  4. Step 4: Simplify right side
    4,661.37x = 16,502,154.51
  5. Step 5: Solve for x
    x = 16,502,154.51/4,661.37
  6. Step 6: Final answer
    x = 3,540.19

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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.