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Finding the Fourth Proportional to 4,610.07, 6,346.52 and 4,398.24

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Solution

The fourth proportional to 4,610.07, 6,346.52 and 4,398.24 is: 6,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.07 : 6,346.52 = 4,398.24 : x
  2. Step 2: Convert to fraction form
    4,610.07/6,346.52 = 4,398.24/x
  3. Step 3: Cross multiply
    4,610.07x = 6,346.52 × 4,398.24
  4. Step 4: Simplify right side
    4,610.07x = 27,913,484.23
  5. Step 5: Solve for x
    x = 27,913,484.23/4,610.07
  6. Step 6: Final answer
    x = 6,054.90

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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.