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Finding the Fourth Proportional to 4,552.48, 6,282.72 and 2,784.16

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Solution

The fourth proportional to 4,552.48, 6,282.72 and 2,784.16 is: 3,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.48 : 6,282.72 = 2,784.16 : x
  2. Step 2: Convert to fraction form
    4,552.48/6,282.72 = 2,784.16/x
  3. Step 3: Cross multiply
    4,552.48x = 6,282.72 × 2,784.16
  4. Step 4: Simplify right side
    4,552.48x = 17,492,097.72
  5. Step 5: Solve for x
    x = 17,492,097.72/4,552.48
  6. Step 6: Final answer
    x = 3,842.32

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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.