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Finding the Fourth Proportional to 5,820.68, 8,036.63 and 4,546

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Solution

The fourth proportional to 5,820.68, 8,036.63 and 4,546 is: 6,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.68 : 8,036.63 = 4,546 : x
  2. Step 2: Convert to fraction form
    5,820.68/8,036.63 = 4,546/x
  3. Step 3: Cross multiply
    5,820.68x = 8,036.63 × 4,546
  4. Step 4: Simplify right side
    5,820.68x = 36,534,519.98
  5. Step 5: Solve for x
    x = 36,534,519.98/5,820.68
  6. Step 6: Final answer
    x = 6,276.68

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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.