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Finding the Fourth Proportional to 4,771.68, 6,565.60 and 4,656.48

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Solution

The fourth proportional to 4,771.68, 6,565.60 and 4,656.48 is: 6,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.68 : 6,565.60 = 4,656.48 : x
  2. Step 2: Convert to fraction form
    4,771.68/6,565.60 = 4,656.48/x
  3. Step 3: Cross multiply
    4,771.68x = 6,565.60 × 4,656.48
  4. Step 4: Simplify right side
    4,771.68x = 30,572,585.09
  5. Step 5: Solve for x
    x = 30,572,585.09/4,771.68
  6. Step 6: Final answer
    x = 6,407.09

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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.