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Finding the Fourth Proportional to 4,896.47, 7,345.12 and 1,565.19

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Solution

The fourth proportional to 4,896.47, 7,345.12 and 1,565.19 is: 2,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.47 : 7,345.12 = 1,565.19 : x
  2. Step 2: Convert to fraction form
    4,896.47/7,345.12 = 1,565.19/x
  3. Step 3: Cross multiply
    4,896.47x = 7,345.12 × 1,565.19
  4. Step 4: Simplify right side
    4,896.47x = 11,496,508.37
  5. Step 5: Solve for x
    x = 11,496,508.37/4,896.47
  6. Step 6: Final answer
    x = 2,347.92

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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.