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Finding the Fourth Proportional to 4,362.56, 6,543.20 and 1,284.16

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Solution

The fourth proportional to 4,362.56, 6,543.20 and 1,284.16 is: 1,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.56 : 6,543.20 = 1,284.16 : x
  2. Step 2: Convert to fraction form
    4,362.56/6,543.20 = 1,284.16/x
  3. Step 3: Cross multiply
    4,362.56x = 6,543.20 × 1,284.16
  4. Step 4: Simplify right side
    4,362.56x = 8,402,515.71
  5. Step 5: Solve for x
    x = 8,402,515.71/4,362.56
  6. Step 6: Final answer
    x = 1,926.05

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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.