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Finding the Fourth Proportional to 4,947.76, 6,784.58 and 4,782.16

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Solution

The fourth proportional to 4,947.76, 6,784.58 and 4,782.16 is: 6,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.76 : 6,784.58 = 4,782.16 : x
  2. Step 2: Convert to fraction form
    4,947.76/6,784.58 = 4,782.16/x
  3. Step 3: Cross multiply
    4,947.76x = 6,784.58 × 4,782.16
  4. Step 4: Simplify right side
    4,947.76x = 32,444,947.09
  5. Step 5: Solve for x
    x = 32,444,947.09/4,947.76
  6. Step 6: Final answer
    x = 6,557.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.