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Finding the Fourth Proportional to 3,463.52, 4,780.70 and 2,415.92

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Solution

The fourth proportional to 3,463.52, 4,780.70 and 2,415.92 is: 3,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.52 : 4,780.70 = 2,415.92 : x
  2. Step 2: Convert to fraction form
    3,463.52/4,780.70 = 2,415.92/x
  3. Step 3: Cross multiply
    3,463.52x = 4,780.70 × 2,415.92
  4. Step 4: Simplify right side
    3,463.52x = 11,549,788.74
  5. Step 5: Solve for x
    x = 11,549,788.74/3,463.52
  6. Step 6: Final answer
    x = 3,334.70

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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.