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Finding the Fourth Proportional to 4,647.57, 6,970.53 and 1,873.53

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Solution

The fourth proportional to 4,647.57, 6,970.53 and 1,873.53 is: 2,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.57 : 6,970.53 = 1,873.53 : x
  2. Step 2: Convert to fraction form
    4,647.57/6,970.53 = 1,873.53/x
  3. Step 3: Cross multiply
    4,647.57x = 6,970.53 × 1,873.53
  4. Step 4: Simplify right side
    4,647.57x = 13,059,497.07
  5. Step 5: Solve for x
    x = 13,059,497.07/4,647.57
  6. Step 6: Final answer
    x = 2,809.96

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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.