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Finding the Fourth Proportional to 5,456.57, 7,534.22 and 5,445.63

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Solution

The fourth proportional to 5,456.57, 7,534.22 and 5,445.63 is: 7,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.57 : 7,534.22 = 5,445.63 : x
  2. Step 2: Convert to fraction form
    5,456.57/7,534.22 = 5,445.63/x
  3. Step 3: Cross multiply
    5,456.57x = 7,534.22 × 5,445.63
  4. Step 4: Simplify right side
    5,456.57x = 41,028,547.23
  5. Step 5: Solve for x
    x = 41,028,547.23/5,456.57
  6. Step 6: Final answer
    x = 7,519.12

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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.