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Finding the Fourth Proportional to 5,705.12, 8,562.54 and 4,065.68

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Solution

The fourth proportional to 5,705.12, 8,562.54 and 4,065.68 is: 6,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.12 : 8,562.54 = 4,065.68 : x
  2. Step 2: Convert to fraction form
    5,705.12/8,562.54 = 4,065.68/x
  3. Step 3: Cross multiply
    5,705.12x = 8,562.54 × 4,065.68
  4. Step 4: Simplify right side
    5,705.12x = 34,812,547.63
  5. Step 5: Solve for x
    x = 34,812,547.63/5,705.12
  6. Step 6: Final answer
    x = 6,101.98

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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.