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Finding the Fourth Proportional to 5,135.09, 7,703.12 and 1,437.32

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Solution

The fourth proportional to 5,135.09, 7,703.12 and 1,437.32 is: 2,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.09 : 7,703.12 = 1,437.32 : x
  2. Step 2: Convert to fraction form
    5,135.09/7,703.12 = 1,437.32/x
  3. Step 3: Cross multiply
    5,135.09x = 7,703.12 × 1,437.32
  4. Step 4: Simplify right side
    5,135.09x = 11,071,848.44
  5. Step 5: Solve for x
    x = 11,071,848.44/5,135.09
  6. Step 6: Final answer
    x = 2,156.12

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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.