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Finding the Fourth Proportional to 4,369.52, 6,552.74 and 1,407.85

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Solution

The fourth proportional to 4,369.52, 6,552.74 and 1,407.85 is: 2,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.52 : 6,552.74 = 1,407.85 : x
  2. Step 2: Convert to fraction form
    4,369.52/6,552.74 = 1,407.85/x
  3. Step 3: Cross multiply
    4,369.52x = 6,552.74 × 1,407.85
  4. Step 4: Simplify right side
    4,369.52x = 9,225,258.19
  5. Step 5: Solve for x
    x = 9,225,258.19/4,369.52
  6. Step 6: Final answer
    x = 2,111.27

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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.