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Finding the Fourth Proportional to 4,560.16, 6,784.04 and 4,352.80

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Solution

The fourth proportional to 4,560.16, 6,784.04 and 4,352.80 is: 6,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.16 : 6,784.04 = 4,352.80 : x
  2. Step 2: Convert to fraction form
    4,560.16/6,784.04 = 4,352.80/x
  3. Step 3: Cross multiply
    4,560.16x = 6,784.04 × 4,352.80
  4. Step 4: Simplify right side
    4,560.16x = 29,529,569.31
  5. Step 5: Solve for x
    x = 29,529,569.31/4,560.16
  6. Step 6: Final answer
    x = 6,475.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.