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Finding the Fourth Proportional to 5,070, 7,605 and 1,607.25

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Solution

The fourth proportional to 5,070, 7,605 and 1,607.25 is: 2,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 7,605 = 1,607.25 : x
  2. Step 2: Convert to fraction form
    5,070/7,605 = 1,607.25/x
  3. Step 3: Cross multiply
    5,070x = 7,605 × 1,607.25
  4. Step 4: Simplify right side
    5,070x = 12,223,136.25
  5. Step 5: Solve for x
    x = 12,223,136.25/5,070
  6. Step 6: Final answer
    x = 2,410.88

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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.