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Finding the Fourth Proportional to 5,057.02, 7,585.26 and 1,594

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Solution

The fourth proportional to 5,057.02, 7,585.26 and 1,594 is: 2,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.02 : 7,585.26 = 1,594 : x
  2. Step 2: Convert to fraction form
    5,057.02/7,585.26 = 1,594/x
  3. Step 3: Cross multiply
    5,057.02x = 7,585.26 × 1,594
  4. Step 4: Simplify right side
    5,057.02x = 12,090,904.44
  5. Step 5: Solve for x
    x = 12,090,904.44/5,057.02
  6. Step 6: Final answer
    x = 2,390.91

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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.