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Finding the Fourth Proportional to 2,947.07, 4,416.05 and 1,715.06

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Solution

The fourth proportional to 2,947.07, 4,416.05 and 1,715.06 is: 2,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.07 : 4,416.05 = 1,715.06 : x
  2. Step 2: Convert to fraction form
    2,947.07/4,416.05 = 1,715.06/x
  3. Step 3: Cross multiply
    2,947.07x = 4,416.05 × 1,715.06
  4. Step 4: Simplify right side
    2,947.07x = 7,573,806.04
  5. Step 5: Solve for x
    x = 7,573,806.04/2,947.07
  6. Step 6: Final answer
    x = 2,569.94

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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.