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Finding the Fourth Proportional to 4,155, 6,235.32 and 1,558.08

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Solution

The fourth proportional to 4,155, 6,235.32 and 1,558.08 is: 2,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155 : 6,235.32 = 1,558.08 : x
  2. Step 2: Convert to fraction form
    4,155/6,235.32 = 1,558.08/x
  3. Step 3: Cross multiply
    4,155x = 6,235.32 × 1,558.08
  4. Step 4: Simplify right side
    4,155x = 9,715,127.39
  5. Step 5: Solve for x
    x = 9,715,127.39/4,155
  6. Step 6: Final answer
    x = 2,338.18

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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.