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Finding the Fourth Proportional to 5,688.16, 8,507.58 and 3,342.58

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Solution

The fourth proportional to 5,688.16, 8,507.58 and 3,342.58 is: 4,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.16 : 8,507.58 = 3,342.58 : x
  2. Step 2: Convert to fraction form
    5,688.16/8,507.58 = 3,342.58/x
  3. Step 3: Cross multiply
    5,688.16x = 8,507.58 × 3,342.58
  4. Step 4: Simplify right side
    5,688.16x = 28,437,266.76
  5. Step 5: Solve for x
    x = 28,437,266.76/5,688.16
  6. Step 6: Final answer
    x = 4,999.38

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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.