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Finding the Fourth Proportional to 4,886.16, 7,332.24 and 4,074.48

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Solution

The fourth proportional to 4,886.16, 7,332.24 and 4,074.48 is: 6,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.16 : 7,332.24 = 4,074.48 : x
  2. Step 2: Convert to fraction form
    4,886.16/7,332.24 = 4,074.48/x
  3. Step 3: Cross multiply
    4,886.16x = 7,332.24 × 4,074.48
  4. Step 4: Simplify right side
    4,886.16x = 29,875,065.24
  5. Step 5: Solve for x
    x = 29,875,065.24/4,886.16
  6. Step 6: Final answer
    x = 6,114.22

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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.