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Finding the Fourth Proportional to 5,598.76, 7,726.18 and 3,830.32

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Solution

The fourth proportional to 5,598.76, 7,726.18 and 3,830.32 is: 5,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.76 : 7,726.18 = 3,830.32 : x
  2. Step 2: Convert to fraction form
    5,598.76/7,726.18 = 3,830.32/x
  3. Step 3: Cross multiply
    5,598.76x = 7,726.18 × 3,830.32
  4. Step 4: Simplify right side
    5,598.76x = 29,593,741.78
  5. Step 5: Solve for x
    x = 29,593,741.78/5,598.76
  6. Step 6: Final answer
    x = 5,285.77

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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.