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Finding the Fourth Proportional to 5,663.26, 7,822.12 and 4,953.30

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Solution

The fourth proportional to 5,663.26, 7,822.12 and 4,953.30 is: 6,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.26 : 7,822.12 = 4,953.30 : x
  2. Step 2: Convert to fraction form
    5,663.26/7,822.12 = 4,953.30/x
  3. Step 3: Cross multiply
    5,663.26x = 7,822.12 × 4,953.30
  4. Step 4: Simplify right side
    5,663.26x = 38,745,307.00
  5. Step 5: Solve for x
    x = 38,745,307.00/5,663.26
  6. Step 6: Final answer
    x = 6,841.52

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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.