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Finding the Fourth Proportional to 5,642.16, 8,424.12 and 5,292.24

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Solution

The fourth proportional to 5,642.16, 8,424.12 and 5,292.24 is: 7,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.16 : 8,424.12 = 5,292.24 : x
  2. Step 2: Convert to fraction form
    5,642.16/8,424.12 = 5,292.24/x
  3. Step 3: Cross multiply
    5,642.16x = 8,424.12 × 5,292.24
  4. Step 4: Simplify right side
    5,642.16x = 44,582,464.83
  5. Step 5: Solve for x
    x = 44,582,464.83/5,642.16
  6. Step 6: Final answer
    x = 7,901.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.