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Finding the Fourth Proportional to 4,785.66, 6,602.04 and 3,457.26

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Solution

The fourth proportional to 4,785.66, 6,602.04 and 3,457.26 is: 4,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.66 : 6,602.04 = 3,457.26 : x
  2. Step 2: Convert to fraction form
    4,785.66/6,602.04 = 3,457.26/x
  3. Step 3: Cross multiply
    4,785.66x = 6,602.04 × 3,457.26
  4. Step 4: Simplify right side
    4,785.66x = 22,824,968.81
  5. Step 5: Solve for x
    x = 22,824,968.81/4,785.66
  6. Step 6: Final answer
    x = 4,769.45

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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.