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Finding the Fourth Proportional to 5,570.17, 7,686.50 and 3,051.84

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Solution

The fourth proportional to 5,570.17, 7,686.50 and 3,051.84 is: 4,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.17 : 7,686.50 = 3,051.84 : x
  2. Step 2: Convert to fraction form
    5,570.17/7,686.50 = 3,051.84/x
  3. Step 3: Cross multiply
    5,570.17x = 7,686.50 × 3,051.84
  4. Step 4: Simplify right side
    5,570.17x = 23,457,929.73
  5. Step 5: Solve for x
    x = 23,457,929.73/5,570.17
  6. Step 6: Final answer
    x = 4,211.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.