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Finding the Fourth Proportional to 4,656.40, 6,425.76 and 2,560.52

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Solution

The fourth proportional to 4,656.40, 6,425.76 and 2,560.52 is: 3,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.40 : 6,425.76 = 2,560.52 : x
  2. Step 2: Convert to fraction form
    4,656.40/6,425.76 = 2,560.52/x
  3. Step 3: Cross multiply
    4,656.40x = 6,425.76 × 2,560.52
  4. Step 4: Simplify right side
    4,656.40x = 16,453,287.00
  5. Step 5: Solve for x
    x = 16,453,287.00/4,656.40
  6. Step 6: Final answer
    x = 3,533.48

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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.