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Finding the Fourth Proportional to 5,838.86, 8,758.26 and 1,456.32

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Solution

The fourth proportional to 5,838.86, 8,758.26 and 1,456.32 is: 2,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.86 : 8,758.26 = 1,456.32 : x
  2. Step 2: Convert to fraction form
    5,838.86/8,758.26 = 1,456.32/x
  3. Step 3: Cross multiply
    5,838.86x = 8,758.26 × 1,456.32
  4. Step 4: Simplify right side
    5,838.86x = 12,754,829.20
  5. Step 5: Solve for x
    x = 12,754,829.20/5,838.86
  6. Step 6: Final answer
    x = 2,184.47

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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.