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Finding the Fourth Proportional to 5,460.83, 7,527.99 and 4,342.22

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Solution

The fourth proportional to 5,460.83, 7,527.99 and 4,342.22 is: 5,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.83 : 7,527.99 = 4,342.22 : x
  2. Step 2: Convert to fraction form
    5,460.83/7,527.99 = 4,342.22/x
  3. Step 3: Cross multiply
    5,460.83x = 7,527.99 × 4,342.22
  4. Step 4: Simplify right side
    5,460.83x = 32,688,151.10
  5. Step 5: Solve for x
    x = 32,688,151.10/5,460.83
  6. Step 6: Final answer
    x = 5,985.94

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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.