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Finding the Fourth Proportional to 5,663.51, 7,810.19 and 3,394.50

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Solution

The fourth proportional to 5,663.51, 7,810.19 and 3,394.50 is: 4,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.51 : 7,810.19 = 3,394.50 : x
  2. Step 2: Convert to fraction form
    5,663.51/7,810.19 = 3,394.50/x
  3. Step 3: Cross multiply
    5,663.51x = 7,810.19 × 3,394.50
  4. Step 4: Simplify right side
    5,663.51x = 26,511,689.96
  5. Step 5: Solve for x
    x = 26,511,689.96/5,663.51
  6. Step 6: Final answer
    x = 4,681.14

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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.