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Finding the Fourth Proportional to 5,070.14, 7,605.22 and 1,607.38

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Solution

The fourth proportional to 5,070.14, 7,605.22 and 1,607.38 is: 2,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.14 : 7,605.22 = 1,607.38 : x
  2. Step 2: Convert to fraction form
    5,070.14/7,605.22 = 1,607.38/x
  3. Step 3: Cross multiply
    5,070.14x = 7,605.22 × 1,607.38
  4. Step 4: Simplify right side
    5,070.14x = 12,224,478.52
  5. Step 5: Solve for x
    x = 12,224,478.52/5,070.14
  6. Step 6: Final answer
    x = 2,411.07

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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.