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Finding the Fourth Proportional to 4,345.60, 6,507.60 and 2,783.20

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Solution

The fourth proportional to 4,345.60, 6,507.60 and 2,783.20 is: 4,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.60 : 6,507.60 = 2,783.20 : x
  2. Step 2: Convert to fraction form
    4,345.60/6,507.60 = 2,783.20/x
  3. Step 3: Cross multiply
    4,345.60x = 6,507.60 × 2,783.20
  4. Step 4: Simplify right side
    4,345.60x = 18,111,952.32
  5. Step 5: Solve for x
    x = 18,111,952.32/4,345.60
  6. Step 6: Final answer
    x = 4,167.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.