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Finding the Fourth Proportional to 4,727.60, 7,089.60 and 1,564.32

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Solution

The fourth proportional to 4,727.60, 7,089.60 and 1,564.32 is: 2,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.60 : 7,089.60 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    4,727.60/7,089.60 = 1,564.32/x
  3. Step 3: Cross multiply
    4,727.60x = 7,089.60 × 1,564.32
  4. Step 4: Simplify right side
    4,727.60x = 11,090,403.07
  5. Step 5: Solve for x
    x = 11,090,403.07/4,727.60
  6. Step 6: Final answer
    x = 2,345.88

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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.