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Finding the Fourth Proportional to 5,407.32, 7,462.62 and 3,417.96

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Solution

The fourth proportional to 5,407.32, 7,462.62 and 3,417.96 is: 4,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.32 : 7,462.62 = 3,417.96 : x
  2. Step 2: Convert to fraction form
    5,407.32/7,462.62 = 3,417.96/x
  3. Step 3: Cross multiply
    5,407.32x = 7,462.62 × 3,417.96
  4. Step 4: Simplify right side
    5,407.32x = 25,506,936.66
  5. Step 5: Solve for x
    x = 25,506,936.66/5,407.32
  6. Step 6: Final answer
    x = 4,717.11

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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.