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Finding the Fourth Proportional to 5,746.37, 7,924.16 and 5,411.52

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Solution

The fourth proportional to 5,746.37, 7,924.16 and 5,411.52 is: 7,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.37 : 7,924.16 = 5,411.52 : x
  2. Step 2: Convert to fraction form
    5,746.37/7,924.16 = 5,411.52/x
  3. Step 3: Cross multiply
    5,746.37x = 7,924.16 × 5,411.52
  4. Step 4: Simplify right side
    5,746.37x = 42,881,723.27
  5. Step 5: Solve for x
    x = 42,881,723.27/5,746.37
  6. Step 6: Final answer
    x = 7,462.41

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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.