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Finding the Fourth Proportional to 3,562.02, 4,915.62 and 2,070

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Solution

The fourth proportional to 3,562.02, 4,915.62 and 2,070 is: 2,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.02 : 4,915.62 = 2,070 : x
  2. Step 2: Convert to fraction form
    3,562.02/4,915.62 = 2,070/x
  3. Step 3: Cross multiply
    3,562.02x = 4,915.62 × 2,070
  4. Step 4: Simplify right side
    3,562.02x = 10,175,333.40
  5. Step 5: Solve for x
    x = 10,175,333.40/3,562.02
  6. Step 6: Final answer
    x = 2,856.62

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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.