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Finding the Fourth Proportional to 4,549.12, 6,820 and 1,953.88

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Solution

The fourth proportional to 4,549.12, 6,820 and 1,953.88 is: 2,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.12 : 6,820 = 1,953.88 : x
  2. Step 2: Convert to fraction form
    4,549.12/6,820 = 1,953.88/x
  3. Step 3: Cross multiply
    4,549.12x = 6,820 × 1,953.88
  4. Step 4: Simplify right side
    4,549.12x = 13,325,461.60
  5. Step 5: Solve for x
    x = 13,325,461.60/4,549.12
  6. Step 6: Final answer
    x = 2,929.24

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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.