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Finding the Fourth Proportional to 4,543.58, 6,814.56 and 2,078.48

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Solution

The fourth proportional to 4,543.58, 6,814.56 and 2,078.48 is: 3,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.58 : 6,814.56 = 2,078.48 : x
  2. Step 2: Convert to fraction form
    4,543.58/6,814.56 = 2,078.48/x
  3. Step 3: Cross multiply
    4,543.58x = 6,814.56 × 2,078.48
  4. Step 4: Simplify right side
    4,543.58x = 14,163,926.67
  5. Step 5: Solve for x
    x = 14,163,926.67/4,543.58
  6. Step 6: Final answer
    x = 3,117.35

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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.