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Finding the Fourth Proportional to 3,482.58, 4,802.76 and 3,231.08

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Solution

The fourth proportional to 3,482.58, 4,802.76 and 3,231.08 is: 4,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.58 : 4,802.76 = 3,231.08 : x
  2. Step 2: Convert to fraction form
    3,482.58/4,802.76 = 3,231.08/x
  3. Step 3: Cross multiply
    3,482.58x = 4,802.76 × 3,231.08
  4. Step 4: Simplify right side
    3,482.58x = 15,518,101.78
  5. Step 5: Solve for x
    x = 15,518,101.78/3,482.58
  6. Step 6: Final answer
    x = 4,455.92

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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.