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Finding the Fourth Proportional to 3,613.51, 5,416.98 and 1,304.47

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Solution

The fourth proportional to 3,613.51, 5,416.98 and 1,304.47 is: 1,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.51 : 5,416.98 = 1,304.47 : x
  2. Step 2: Convert to fraction form
    3,613.51/5,416.98 = 1,304.47/x
  3. Step 3: Cross multiply
    3,613.51x = 5,416.98 × 1,304.47
  4. Step 4: Simplify right side
    3,613.51x = 7,066,287.90
  5. Step 5: Solve for x
    x = 7,066,287.90/3,613.51
  6. Step 6: Final answer
    x = 1,955.52

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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.