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Finding the Fourth Proportional to 4,875.68, 7,311.70 and 1,754.84

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Solution

The fourth proportional to 4,875.68, 7,311.70 and 1,754.84 is: 2,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.68 : 7,311.70 = 1,754.84 : x
  2. Step 2: Convert to fraction form
    4,875.68/7,311.70 = 1,754.84/x
  3. Step 3: Cross multiply
    4,875.68x = 7,311.70 × 1,754.84
  4. Step 4: Simplify right side
    4,875.68x = 12,830,863.63
  5. Step 5: Solve for x
    x = 12,830,863.63/4,875.68
  6. Step 6: Final answer
    x = 2,631.60

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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.