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Finding the Fourth Proportional to 4,321.13, 6,482.76 and 1,548

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Solution

The fourth proportional to 4,321.13, 6,482.76 and 1,548 is: 2,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.13 : 6,482.76 = 1,548 : x
  2. Step 2: Convert to fraction form
    4,321.13/6,482.76 = 1,548/x
  3. Step 3: Cross multiply
    4,321.13x = 6,482.76 × 1,548
  4. Step 4: Simplify right side
    4,321.13x = 10,035,312.48
  5. Step 5: Solve for x
    x = 10,035,312.48/4,321.13
  6. Step 6: Final answer
    x = 2,322.38

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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.