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Finding the Fourth Proportional to 4,661.58, 6,432.48 and 2,565.30

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Solution

The fourth proportional to 4,661.58, 6,432.48 and 2,565.30 is: 3,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.58 : 6,432.48 = 2,565.30 : x
  2. Step 2: Convert to fraction form
    4,661.58/6,432.48 = 2,565.30/x
  3. Step 3: Cross multiply
    4,661.58x = 6,432.48 × 2,565.30
  4. Step 4: Simplify right side
    4,661.58x = 16,501,244.20
  5. Step 5: Solve for x
    x = 16,501,244.20/4,661.58
  6. Step 6: Final answer
    x = 3,539.84

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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.