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Finding the Fourth Proportional to 4,781.64, 6,580.26 and 4,753.32

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Solution

The fourth proportional to 4,781.64, 6,580.26 and 4,753.32 is: 6,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.64 : 6,580.26 = 4,753.32 : x
  2. Step 2: Convert to fraction form
    4,781.64/6,580.26 = 4,753.32/x
  3. Step 3: Cross multiply
    4,781.64x = 6,580.26 × 4,753.32
  4. Step 4: Simplify right side
    4,781.64x = 31,278,081.46
  5. Step 5: Solve for x
    x = 31,278,081.46/4,781.64
  6. Step 6: Final answer
    x = 6,541.29

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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.