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Finding the Fourth Proportional to 3,432.77, 4,733.75 and 3,053.46

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Solution

The fourth proportional to 3,432.77, 4,733.75 and 3,053.46 is: 4,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.77 : 4,733.75 = 3,053.46 : x
  2. Step 2: Convert to fraction form
    3,432.77/4,733.75 = 3,053.46/x
  3. Step 3: Cross multiply
    3,432.77x = 4,733.75 × 3,053.46
  4. Step 4: Simplify right side
    3,432.77x = 14,454,301.01
  5. Step 5: Solve for x
    x = 14,454,301.01/3,432.77
  6. Step 6: Final answer
    x = 4,210.69

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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.